DISCOVER CARD MASTER TRUST I
424B3, 1999-01-15
ASSET-BACKED SECURITIES
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<PAGE>   1


PROSPECTUS SUPPLEMENT                     This Prospectus Supplement, filed 
FOR THE PERIOD ENDING                     pursuant to Rule 424(b)(3),
DECEMBER 31, 1998 TO                      relates to Registration Statement
PROSPECTUS DATED                          33-54804-01 and the Prospectus
OCTOBER 19, 1993                          dated October 19, 1993



                       SECURITIES AND EXCHANGE COMMISSION
                             450 Fifth Street, N.W.
                             Washington, D.C. 20549


                                    FORM 8-K

                                 CURRENT REPORT



                     Pursuant to Section 13 or 15(d) of the
                         Securities Exchange Act of 1934

       Date of Report (Date of earliest event reported): January 15, 1999


                          DISCOVER CARD MASTER TRUST I
                          ----------------------------
             (Exact name of registrant as specified in its charter)


Delaware                      0-23108                       Not Applicable
- --------                      -------                       --------------
(State of                     (Commission                   (IRS Employer
organization)                 File Number)                  Identification No.)

c/o Greenwood Trust Company
12 Read's Way
New Castle, Delaware                             19720
- ---------------------------------------------------------
(Address of principal executive offices)       (Zip Code)


Registrant's telephone number, including area code: (302) 323-7184


                                 Not Applicable
                    ---------------------------------------------
                 (Former address, if changed since last report)

                                  Page 1 of 147
                         Index to Exhibits is on page 8


<PAGE>   2

Item 5.  Other Events

A) Series 1993-1:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1993-1, which is attached as Exhibit 20(a) hereto.

B) Series 1993-2:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1993-2, which is attached as Exhibit 20(b) hereto.

C) Series 1993-3:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1993-3, which is attached as Exhibit 20(c) hereto.

D) Series 1994-2:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1994-2, which is attached as Exhibit 20(d) hereto.

E) Series 1994-3:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1994-3, which is attached as Exhibit 20(e) hereto.

F) Series 1994-A:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1994-A, which is attached as Exhibit 20(f) hereto.

G) Series 1995-1:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1995-1, which is attached as Exhibit 20(g) hereto.

H) Series 1995-2:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1995-2, which is attached as Exhibit 20 (h) hereto.

I) Series 1995-3:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1995-3, which is attached as Exhibit 20(i) hereto.


                                       2
<PAGE>   3

J) Series 1996-1:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1996-1, which is attached as Exhibit 20(j) hereto.

K) Series 1996-2:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1996-2, which is attached as Exhibit 20(k) hereto.

L) Series 1996-3:
On January 15, 1999 the Registrant made available the Monthly
Certificateholders' Statement for the December 1998 Due Period with respect to
Series 1996-3, which is attached as Exhibit 20(l) hereto.

M) Series 1996-4:
On January 15, 1999 the Registrant made available the Monthly Certificateholders
Statement for the December 1998 Due Period with respect to Series 1996-4, which
is attached as Exhibit 20(m) hereto.

N) Series 1997-1:
On January 15, 1999 the Registrant made available the Monthly Certificateholders
Statement for the December 1998 Due Period with respect to Series 1997-1, which
is attached as Exhibit 20(n) hereto.

O) Series 1997-2:
On January 15, 1999 the Registrant made available the Monthly Certificateholders
Statement for the December 1998 Due Period with respect to Series 1997-2, which
is attached as Exhibit 20(o) hereto.

P) Series 1997-3:
On January 15, 1999 the Registrant made available the Monthly Certificateholders
Statement for the December 1998 Due Period with respect to Series 1997-3, which
is attached as Exhibit 20(p) hereto.

Q) Series 1997-4:
On January 15, 1999 the Registrant made available the Monthly Certificateholders
Statement for the December 1998 Due Period with respect to Series 1997-4, which
is attached as Exhibit 20(q) hereto.

R) Series 1998-1:
On January 15, 1999 the Registrant made available the Monthly Certificateholders
Statement for the December 1998 Due Period with respect to Series 1998-1, which
is attached as Exhibit 20(r) hereto.


                                       3
<PAGE>   4

S) Series 1998-2:
On January 15, 1999 the Registrant made available the Monthly Certificateholders
Statement for the December 1998 Due Period with respect to Series 1998-2, which
is attached as Exhibit 20(s) hereto.

T) Series 1998-3:
On January 15, 1999 the Registrant made available the Monthly Certificateholders
Statement for the December 1998 Due Period with respect to Series 1998-3, which
is attached as Exhibit 20(t) hereto.

U) Series 1998-4:
On January 15, 1999 the Registrant made available the Monthly Certificateholders
Statement for the December 1998 Due Period with respect to Series 1998-4, which
is attached as Exhibit 20(u) hereto.

V) Series 1998-6:
On January 15, 1999 the Registrant made available the Monthly Certificateholders
Statement for the December 1998 Due Period with respect to Series 1998-6, which
is attached as Exhibit 20(v) hereto.

W) Series 1998-7:
On January 15, 1999 the Registrant made available the Monthly Certificateholders
Statement for the December 1998 Due Period with respect to Series 1998-7, which
is attached as Exhibit 20(w) hereto.


                                       4
<PAGE>   5


Item 7. Financial Statements and Exhibits
(c) Exhibits

<TABLE>
<CAPTION>
Exhibit No.         Description
- -----------         -----------

<S>                 <C>
20(a)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1993-1.

20(b)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1993-2.

20(c)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1993-3.

20(d)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1994-2.

20(e)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1994-3.

20(f)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1994-A.

20(g)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1995-1.

20(h)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1995-2.

20(i)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1995-3.

20(j)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1996-1.

20(k)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1996-2.

20(l)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1996-3.

20(m)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1996-4.

20(n)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1997-1.
</TABLE>


                                       5
<PAGE>   6

<TABLE>
<S>                 <C>
20(o)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1997-2.

20(p)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1997-3.

20(q)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1997-4.

20(r)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-1.

20(s)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-2.

20(t)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-3.

20(u)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-4.

20(v)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-6.

20(w)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-7.
</TABLE>


                                       6
<PAGE>   7


                                   SIGNATURES

       Pursuant to the requirements of Section 13 or 15(d) of the Securities
Exchange Act of 1934, the registrant has duly caused this report to be signed on
its behalf by the undersigned, thereunto duly authorized.

                                  DISCOVER CARD MASTER TRUST I
                                          (Registrant)

                                    By: GREENWOOD TRUST COMPANY
                                        as originator of the Trust

                                    By:        John J. Coane
                                        -----------------------------------
                                        John J. Coane
                                        Vice President, Chief Accounting
                                        Officer and Treasurer


Date: January 15, 1999


                                       7
<PAGE>   8


                                 EXHIBIT INDEX

<TABLE>
<CAPTION>
Exhibit No.         Description
- -----------         -----------
<S>                 <C>
20(a)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1993-1.

20(b)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1993-2.

20(c)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1993-3.

20(d)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1994-2.

20(e)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1994-3.

20(f)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1994-A.

20(g)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1995-1.

20(h)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1995-2.

20(i)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1995-3.

20(j)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1996-1.

20(k)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1996-2.

20(l)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1996-3.

20(m)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1996-4.

20(n)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1997-1.

20(o)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1997-2.
</TABLE>


                                       8
<PAGE>   9


<TABLE>
<S>                 <C>
20(p)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1997-3.

20(q)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1997-4.

20(r)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-1.

20(s)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-2.

20(t)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-3.

20(u)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-4.

20(v)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-6.

20(w)               Monthly Certificateholders' Statement, related to the Due Period ending 
                    December 31, 1998, for Series 1998-7.
</TABLE>


                                       9

<PAGE>   1
                                                                     EXHIBIT (A)


                      MONTHLY CERTIFICATEHOLDERS' STATEMENT
                          Discover Card Master Trust I
                         Series 1993-1 Monthly Statement
                      Class A Certificate CUSIP #25466KAA7
                      Class B Certificate CUSIP #25466KAB5


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of October 27, 1993 relating to the
Pooling and Servicing Agreement dated as of October 1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust. The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

<TABLE>
<CAPTION>
1.    Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
      -----------------------------------------------------------------------------------------------------------

      Series  1993-1                                  Total         Interest       Principal
          <S>                                    <C>              <C>             <C>
          Class A      31 days at 5.805470000%   $84.999718241    $1.666384907    $83.333333333

          Class B      30 days at 5.300000000%    $4.416666667    $4.416666667     $0.000000000
</TABLE>

<TABLE>
<CAPTION>
2.    Principal Receivables at the end of the Due Period
      --------------------------------------------------
  <S>                                                    <C>
  (a) Aggregate Investor Interest                        $18,653,104,342.64
      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75


  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1993-1 Investor Interest                       $235,373,000.00

  (e) Class A Investor Interest                             $187,500,000.00

      Class B Investor Interest                              $47,873,000.00
</TABLE>

<TABLE>
<CAPTION>
3.    Allocation of Receivables Collected During the Due Period
      ---------------------------------------------------------

                                                                 Finance Charge         Principal            Yield
                                                                  Collections          Collections        Collections
  <S>                                                            <C>                <C>                   <C>
  (a) Allocation of Collections between Investor and Seller

      Aggregate Investor Allocation.                             $305,843,595.24    $2,723,677,162.01        $0.00

      Seller:                                                     $85,109,264.76      $757,936,946.60        $0.00

  (b) Group One Allocation                                       $264,320,101.02    $2,353,891,445.90        $0.00

  (c) Group Two Allocation                                        $41,523,494.22      $369,785,716.11        $0.00

  (d) Series 1993-1 Allocations                                    $4,850,552.14       $43,196,386.24        $0.00

  (e) Class A Allocations                                          $4,070,992.13       $36,254,047.71        $0.00

      Class B Allocations                                            $779,560.01        $6,942,338.53        $0.00
</TABLE>


<PAGE>   2
<TABLE>
<CAPTION>
4.    Information Concerning the Series Principal Funding Accounts ("SPFA")
      ---------------------------------------------------------------------
                         Deposits into the
                          SPFAs This             SPFA     Deposit Deficit   Investment
                          Due Period            Balance       Amount          Income
      <S>                 <C>                    <C>           <C>            <C>
      Series 1993-1       $62,500,000.00         $0.00         0.00           $0.00
</TABLE>

<TABLE>
<CAPTION>
5.    Information Concerning Amount of Controlled Liquidation Payments
      ----------------------------------------------------------------
                                                                  Total Payments
                              Amount Paid      Deficit Amount     Through This
                             This Due Period   This Due Period     Due Period
      <S>                    <C>                    <C>           <C>
      Series 1993-1          $62,500,000.00         $0.00         $562,500,000.00
</TABLE>

<TABLE>
<CAPTION>
6.    Information Concerning the Series Interest Funding Accounts ("SIFA")
      --------------------------------------------------------------------
                                            Deposits Into the
                                              SIFAs This
                                              Due Period           SIFA Balance
      <S>                                   <C>                       <C>
      Series 1993-1                         $1,461,227.76             $0.00
</TABLE>

<TABLE>
<CAPTION>
7.    Pool Factors
      ------------
                                                            This Due Period
      <S>                                                     <C>
      Class A                                                 0.25000000

      Class B                                                 1.00000000
</TABLE>

<TABLE>
<CAPTION>
8.    Investor Charged-Off Amount
      ---------------------------
                                                                   Cumulative
                                                              Investor Charged-Off
                                            This Due Period          Amount
  <S>                                     <C>                        <C>
  (a) Group One                           $100,357,279.92            $0.00

  (b) Group Two                            $15,765,675.46            $0.00

  (c) Series 1993-1                         $1,841,661.74            $0.00

  (d) Class A                               $1,545,677.74            $0.00

      Class B                                 $295,984.00            $0.00
</TABLE>

<TABLE>
<CAPTION>
9.    Investor Losses This Due Period
      -------------------------------
                                                                 Per $1,000 of
                                                               Original Invested
                                                    Total          Principal
<S>                                                <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1993-1                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>


<PAGE>   3
<TABLE>
<CAPTION>
10.   Reimbursement of Investor Losses This Due Period
      ------------------------------------------------          Per $1,000 of
                                                              Original Invested
                                                    Total         Principal
  <S>                                               <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1993-1                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
11.   Aggregate Amount of Unreimbursed Investor Losses        Per $1,000 of
      ------------------------------------------------       Original Invested
                                                   Total        Principal
  <S>                                               <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1993-1                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
12.   Investor Monthly Servicing Fee Payable at the end of the Due Period
      -------------------------------------------------------------------
  <S>                                                      <C>           
  (a) Group One                                            $27,053,785.01

  (b) Group Two                                             $4,250,000.00

  (c) Series 1993-1                                           $496,455.00

  (d) Class A                                                 $416,666.67

      Class B                                                  $79,788.33
</TABLE>

<TABLE>
<CAPTION>
13.   Class Available Subordinated Amount at the end of the Due Period
      ----------------------------------------------------------------
                                                             As a Percentage
                                                               of Class A
                                                 Total       Invested Amount
      <S>                                     <C>               <C>     
      Series 1993-1 Class B                   $63,829,840.00    34.0426%
</TABLE>

<TABLE>
<CAPTION>
14.   Total Available Credit Enhancement Amounts
      ------------------------------------------
                                                   Shared Amount    Class B Amount
      <S>                                         <C>               <C>           
      Maximum Amount                              $7,978,730.00     $15,957,460.00

      Available Amount                            $7,978,730.00     $15,957,460.00

      Amount of Drawings on Credit Enhancement
        for this Due Period                               $0.00              $0.00
</TABLE>


<PAGE>   4
<TABLE>
<CAPTION>
15.   Delinquency Summary
      -------------------

      End of Due Period Master Trust Receivables Outstanding     $28,518,361,329.71

                          Delinquent Amount  Percentage of Ending
      Payment Status      Ending Balance     Receivables Outstanding
      <S>                 <C>                <C>               
      30-59 days           $808,568,403.91          2.84%

      60-179 days        $1,201,933,922.02          4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY:
                                  ----------------------------
                                        Vice President



<PAGE>   5
                     MASTER SERVICER'S CERTIFICATE STATEMENT

                          Discover Card Master Trust I

                         Series 1993-1 Monthly Statement

                                   CREDIT CARD
                            PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of October 27, 1993 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1993-1 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
 <S>                                                                                <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                             $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                $36,254,047.71

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                          $4,070,992.13

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 7.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                 $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off$                          $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                             $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                      $63,749,788.68
</TABLE>


<PAGE>   6
<TABLE>
<S>                                                                                     <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $6,942,338.53

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $779,560.01

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

12.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                 $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                           $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                             $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                         $211,439.08

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
 certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                                as Master Servicer

                           By:
                           ---------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer



<PAGE>   1
                                                                     EXHIBIT (B)


                      MONTHLY CERTIFICATEHOLDERS' STATEMENT
                          Discover Card Master Trust I
                         Series 1993-2 Monthly Statement
                      Class A Certificate CUSIP #25466KAE9
                      Class B Certificate CUSIP #25466KAF6


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of December 1, 1993 relating to the
Pooling and Servicing Agreement dated as of October 1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust. The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

<TABLE>
<CAPTION>
1.    Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
      -----------------------------------------------------------------------------------------------------------

      Series  1993-2                                 Total         Interest     Principal
         <S>                                    <C>             <C>            <C>
         Class A      30 days at 5.400000000%   $85.208333337   $1.875000000   $83.333333338

         Class B      30 days at 5.750000000%    $4.791666667   $4.791666667    $0.000000000
</TABLE>

<TABLE>
<CAPTION>
2.    Principal Receivables at the end of the Due Period
      --------------------------------------------------
  <S>                                                    <C>
  (a) Aggregate Investor Interest                        $18,653,104,342.64
      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75

  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1993-2 Investor Interest                       $300,000,666.64

  (e) Class A Investor Interest                             $266,666,666.64

      Class B Investor Interest                              $33,334,000.00
</TABLE>

<TABLE>
<CAPTION>
3.    Allocation of Receivables Collected During the Due Period
      ---------------------------------------------------------
                                                                  Finance Charge        Principal            Yield
                                                                   Collections         Collections        Collections
<S>                                                              <C>                <C>                      <C>
  (a) Allocation of Collections between Investor and Seller

      Aggregate Investor Allocation.                             $305,843,595.24    $2,723,677,162.01        $0.00

      Seller:                                                     $85,109,264.76      $757,936,946.60        $0.00

  (b) Group One Allocation                                       $264,320,101.02    $2,353,891,445.90        $0.00

  (c) Group Two Allocation                                        $41,523,494.22      $369,785,716.11        $0.00

  (d) Series 1993-2 Allocations                                    $5,970,632.08       $53,171,210.66        $0.00

  (e) Class A Allocations                                          $5,427,989.51       $48,338,730.28        $0.00

      Class B Allocations                                            $542,642.57        $4,832,480.38        $0.00
</TABLE>


<PAGE>   2
<TABLE>
<CAPTION>
4.    Information Concerning the Series Principal Funding Accounts ("SPFA")
      ---------------------------------------------------------------------
                     Deposits into the
                         SPFAs This        SPFA     Deposit Deficit  Investment
                         Due Period       Balance       Amount         Income
      <S>              <C>                  <C>           <C>          <C>  
      Series 1993-2    $66,666,666.67       $0.00         0.00         $0.00
</TABLE>

<TABLE>
<CAPTION>
5.    Information Concerning Amount of Controlled Liquidation Payments
      ----------------------------------------------------------------
                                                                  Total Payments
                              Amount Paid       Deficit Amount    Through This
                             This Due Period    This Due Period    Due Period
      <S>                  <C>                       <C>          <C>            
      Series 1993-2        $66,666,666.67            $0.00        $533,333,333.36
</TABLE>

<TABLE>
<CAPTION>
6.    Information Concerning the Series Interest Funding Accounts ("SIFA")
      --------------------------------------------------------------------
                                            Deposits Into the
                                              SIFAs This
                                              Due Period         SIFA Balance
      <S>                                   <C>                      <C>  
      Series 1993-2                         $1,659,725.42            $0.00
</TABLE>

<TABLE>
<CAPTION>
7.    Pool Factors
      ------------
                                                            This Due Period
      <S>                                                     <C>       
      Class A                                                 0.33333333

      Class B                                                 1.00000000
</TABLE>

<TABLE>
<CAPTION>
8.    Investor Charged-Off Amount
      ---------------------------
                                                                   Cumulative
                                                               Investor Charged-Off
                                            This Due Period         Amount
  <S>                                     <C>                        <C>  
  (a) Group One                           $100,357,279.92            $0.00

  (b) Group Two                            $15,765,675.46            $0.00

  (c) Series 1993-2                         $2,266,934.65            $0.00

  (d) Class A                               $2,060,903.66            $0.00

      Class B                                 $206,030.99            $0.00
</TABLE>

<TABLE>
<CAPTION>
9.    Investor Losses This Due Period
      -------------------------------                        Per $1,000 of
                                                            Original Invested
                                                 Total        Principal
  <S>                                               <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1993-2                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>


<PAGE>   3
<TABLE>
<CAPTION>
10.   Reimbursement of Investor Losses This Due Period
      ------------------------------------------------        Per $1,000 of
                                                            Original Invested
                                                 Total        Principal
  <S>                                               <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1993-2                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
11.   Aggregate Amount of Unreimbursed Investor Losses
      ------------------------------------------------       Per $1,000 of
                                                            Original Invested
                                                 Total        Principal
<S>                                                 <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1993-2                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
12.   Investor Monthly Servicing Fee Payable at the end of the Due Period
      -------------------------------------------------------------------
  <S>                                                      <C>           
  (a) Group One                                            $27,053,785.01

  (b) Group Two                                             $4,250,000.00

  (c) Series 1993-2                                           $611,112.23

  (d) Class A                                                 $555,555.56

      Class B                                                  $55,556.67
</TABLE>

<TABLE>
<CAPTION>
13.   Class Available Subordinated Amount at the end of the Due Period
      ----------------------------------------------------------------
                                                             As a Percentage
                                                               of Class A
                                                 Total       Invested Amount
      <S>                                     <C>               <C>     
      Series 1993-2 Class B                   $50,000,040.00    18.7500%
</TABLE>

<TABLE>
<CAPTION>
14.   Total Available Credit Enhancement Amounts
      ------------------------------------------
                                                     Shared Amount     Class B Amount
      <S>                                            <C>               <C>         
      Maximum Amount                                 $16,666,680.00    $8,333,340.00

      Available Amount                               $16,666,680.00    $8,333,340.00

      Amount of Drawings on Credit Enhancement
        for this Due Period                                   $0.00            $0.00
</TABLE>


<PAGE>   4
<TABLE>
<CAPTION>
15.   Delinquency Summary
      -------------------

      End of Due Period Master Trust Receivables Outstanding        $28,518,361,329.71

                          Delinquent Amount   Percentage of Ending
      Payment Status      Ending Balance      Receivables Outstanding
      <S>                 <C>                        <C>  
      30-59 days            $808,568,403.91          2.84%

      60-179 days         $1,201,933,922.02          4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY:
                                  ----------------------------
                                        Vice President




<PAGE>   5
                     MASTER SERVICER'S CERTIFICATE STATEMENT

                          Discover Card Master Trust I

                         Series 1993-2 Monthly Statement

                                   CREDIT CARD
                            PASS-THROUGH CERTIFICATES

      The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of December 1, 1993 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1993-2 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
<S>                                                                                 <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                             $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                $48,338,730.28

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                          $5,427,989.51

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 7.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                 $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                           $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                             $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                      $68,166,666.67
</TABLE>


<PAGE>   6
<TABLE>
<S>                                                                                     <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $4,832,480.38

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $542,642.57

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

12.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                 $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                           $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                             $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                         $159,725.42

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                                as Master Servicer

                           By:
                               -------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer




<PAGE>   1
                                                                     EXHIBIT (C)


                      MONTHLY CERTIFICATEHOLDERS' STATEMENT
                          Discover Card Master Trust I
                         Series 1993-3 Monthly Statement
                      Class A Certificate CUSIP #25466KAC3
                      Class B Certificate CUSIP #25466KAD1


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of November 23, 1993 relating to the
Pooling and Servicing Agreement dated as of October 1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust. The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

<TABLE>
<CAPTION>
1.    Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
      -----------------------------------------------------------------------------------------------------------

     Series  1993-3                                      Total         Interest      Principal
         <S>                                          <C>            <C>            <C> 
         Class A      30 days at 6.200000000%         $5.166666667   $5.166666667   $0.000000000

         Class B      30 days at 6.450000000%         $5.375000000   $5.375000000   $0.000000000
</TABLE>


<TABLE>
<CAPTION>
2.    Principal Receivables at the end of the Due Period
      --------------------------------------------------
  <S>                                                    <C>               
  (a) Aggregate Investor Interest                        $18,653,104,342.64
      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75


  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1993-3 Investor Interest                       $366,493,000.00

  (e) Class A Investor Interest                             $350,000,000.00

      Class B Investor Interest                              $16,493,000.00
</TABLE>

<TABLE>
<CAPTION>
3.    Allocation of Receivables Collected During the Due Period
      ---------------------------------------------------------
                                                                  Finance Charge        Principal           Yield
                                                                   Collections         Collections       Collections
<S>                                                               <C>                <C>                     <C>
  (a) Allocation of Collections between Investor and Seller

      Aggregate Investor Allocation.                              $305,843,595.24    $2,723,677,162.01       $0.00

      Seller:                                                      $85,109,264.76      $757,936,946.60       $0.00

  (b) Group One Allocation                                        $264,320,101.02    $2,353,891,445.90       $0.00

  (c) Group Two Allocation                                         $41,523,494.22      $369,785,716.11       $0.00

  (d) Series 1993-3 Allocations                                     $5,967,895.41       $53,146,839.37       $0.00

  (e) Class A Allocations                                           $5,699,310.80       $50,754,970.48       $0.00

      Class B Allocations                                             $268,584.61        $2,391,868.89       $0.00
</TABLE>



<PAGE>   2
<TABLE>
<CAPTION>
4.    Information Concerning the Series Principal Funding Accounts ("SPFA")
      ---------------------------------------------------------------------
                      Deposits into the
                          SPFAs This        SPFA     Deposit Deficit   Investment
                          Due Period       Balance      Amount           Income
      <S>                     <C>           <C>           <C>            <C>  
      Series 1993-3           $0.00         $0.00         0.00           $0.00
</TABLE>

<TABLE>
<CAPTION>
5.    Information Concerning Amount of Controlled Liquidation Payments
      ----------------------------------------------------------------
                                                                 Total Payments
                              Amount Paid      Deficit Amount    Through This
                             This Due Period   This Due Period    Due Period
      <S>                           <C>              <C>               <C>  
      Series 1993-3                 $0.00            $0.00             $0.00
</TABLE>

<TABLE>
<CAPTION>
6.    Information Concerning the Series Interest Funding Accounts ("SIFA")
      --------------------------------------------------------------------
                                            Deposits Into the
                                              SIFAs This
                                              Due Period          SIFA Balance
      <S>                                   <C>                    <C>          
      Series 1993-3                         $1,896,983.21          $3,793,966.42
</TABLE>

<TABLE>
<CAPTION>
7.    Pool Factors
      ------------
                                                            This Due Period
      <S>                                                     <C>       
      Class A                                                 1.00000000

      Class B                                                 1.00000000
</TABLE>

<TABLE>
<CAPTION>
8.    Investor Charged-Off Amount
      ---------------------------
                                                                  Cumulative
                                                              Investor Charged-Off
                                         This Due Period            Amount
  <S>                                     <C>                        <C>  
  (a) Group One                           $100,357,279.92            $0.00

  (b) Group Two                            $15,765,675.46            $0.00

  (c) Series 1993-3                         $2,265,895.58            $0.00

  (d) Class A                               $2,163,919.15            $0.00

      Class B                                 $101,976.43            $0.00
</TABLE>

<TABLE>
<CAPTION>
9.    Investor Losses This Due Period
      -------------------------------
                                                             Per $1,000 of
                                                            Original Invested
                                                 Total        Principal
  <S>                                               <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1993-3                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>



<PAGE>   3
<TABLE>
<CAPTION>
10.   Reimbursement of Investor Losses This Due Period 
      ------------------------------------------------       
                                                              Per $1,000 of
                                                            Original Invested
                                                 Total          Principal
  <S>                                               <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1993-3                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
11.   Aggregate Amount of Unreimbursed Investor Losses
      ------------------------------------------------       Per $1,000 of
                                                            Original Invested
                                                 Total        Principal
  <S>                                               <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1993-3                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
12.   Investor Monthly Servicing Fee Payable at the end of the Due Period
      -------------------------------------------------------------------
  <S>                                                      <C>           
  (a) Group One                                            $27,053,785.01

  (b) Group Two                                             $4,250,000.00

  (c) Series 1993-3                                           $610,821.66

  (d) Class A                                                 $583,333.33

      Class B                                                  $27,488.33
</TABLE>

<TABLE>
<CAPTION>
13.   Class Available Subordinated Amount at the end of the Due Period
      ----------------------------------------------------------------
                                                             As a Percentage
                                                               of Class A
                                                 Total       Invested Amount
     <S>                                     <C>                <C>    
     Series 1993-3 Class B                   $23,822,045.00     6.8063%
</TABLE>

<TABLE>
<CAPTION>
14.   Total Available Credit Enhancement Amounts
      ------------------------------------------
                                                  Shared Amount    Class B Amount
      <S>                                         <C>              <C>          
      Maximum Amount                              $9,162,325.00    $5,497,395.00

      Available Amount                            $9,162,325.00    $5,497,395.00

      Amount of Drawings on Credit Enhancement
        for this Due Period                               $0.00            $0.00
</TABLE>



<PAGE>   4
<TABLE>
<CAPTION>
15.   Delinquency Summary
      -------------------

      End of Due Period Master Trust Receivables Outstanding    $28,518,361,329.71

                        Delinquent Amount    Percentage of Ending
      Payment Status    Ending Balance       Receivables Outstanding
      <S>              <C>                          <C>  
      30-59 days         $808,568,403.91            2.84%

      60-179 days      $1,201,933,922.02             4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY:
                                  ---------------------------
                                        Vice President



<PAGE>   5
                     MASTER SERVICER'S CERTIFICATE STATEMENT

                          Discover Card Master Trust I

                         Series 1993-3 Monthly Statement

                                   CREDIT CARD
                            PASS-THROUGH CERTIFICATES

      The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of November 23, 1993 (the "Series Supplement")
by and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1993-3 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:


<TABLE>
<S>                                                                                 <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                             $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                $50,754,970.48

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                          $5,699,310.80

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 7.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                 $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                           $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                             $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                               $0.00
</TABLE>


<PAGE>   6
<TABLE>
<S>                                                                                    <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $2,391,868.89

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $268,584.61

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

12.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                 $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                           $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                             $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                               $0.00

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                                as Master Servicer

                           By:
                              --------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer




<PAGE>   1
                                                                     EXHIBIT (D)


                      MONTHLY CERTIFICATEHOLDERS' STATEMENT
                          Discover Card Master Trust I
                         Series 1994-2 Monthly Statement
                      Class A Certificate CUSIP #25466KAJ8
                      Class B Certificate CUSIP #25466KAK5


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of October 14, 1994 relating to the
Pooling and Servicing Agreement dated as of October 1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust. The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

<TABLE>
<CAPTION>
1.    Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
      -----------------------------------------------------------------------------------------------------------

      Series  1994-2                                Total         Interest     Principal
          <S>                                    <C>            <C>            <C>         
          Class A      31 days at 5.885470000%   $5.068043611   $5.068043611   $0.000000000

          Class B      30 days at 8.050000000%   $6.708333333   $6.708333333   $0.000000000
</TABLE>

<TABLE>
<CAPTION>
2.    Principal Receivables at the end of the Due Period
      --------------------------------------------------
<S>                                                      <C>               
  (a) Aggregate Investor Interest                        $18,653,104,342.64
      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75

  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1994-2 Investor Interest                       $894,737,000.00

  (e) Class A Investor Interest                             $850,000,000.00

      Class B Investor Interest                              $44,737,000.00
</TABLE>

<TABLE>
<CAPTION>
3.    Allocation of Receivables Collected During the Due Period
      ---------------------------------------------------------
                                                                  Finance Charge        Principal           Yield
                                                                   Collections         Collections        Collections
  <S>                                                             <C>                <C>                     <C>
  (a) Allocation of Collections between Investor and Seller

      Aggregate Investor Allocation.                              $305,843,595.24    $2,723,677,162.01       $0.00

      Seller:                                                      $85,109,264.76      $757,936,946.60       $0.00

  (b) Group One Allocation                                        $264,320,101.02    $2,353,891,445.90       $0.00

  (c) Group Two Allocation                                         $41,523,494.22      $369,785,716.11       $0.00

  (d) Series 1994-2 Allocations                                    $14,569,640.24      $129,749,312.98       $0.00

  (e) Class A Allocations                                          $13,841,295.06      $123,263,065.90       $0.00

      Class B Allocations                                             $728,345.18        $6,486,247.08       $0.00
</TABLE>



<PAGE>   2
<TABLE>
<CAPTION>
4.    Information Concerning the Series Principal Funding Accounts ("SPFA")
      ---------------------------------------------------------------------
                      Deposits into the
                          SPFAs This        SPFA    Deposit Deficit  Investment
                          Due Period       Balance      Amount         Income
      <S>                     <C>           <C>           <C>           <C>  
      Series 1994-2           $0.00         $0.00         0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
5.    Information Concerning Amount of Controlled Liquidation Payments
      ----------------------------------------------------------------
                                                                Total Payments
                              Amount Paid      Deficit Amount   Through This
                             This Due Period   This Due Period   Due Period
      <S>                           <C>              <C>               <C>  
      Series 1994-2                 $0.00            $0.00             $0.00
</TABLE>

<TABLE>
<CAPTION>
6.    Information Concerning the Series Interest Funding Accounts ("SIFA")
      --------------------------------------------------------------------
                                            Deposits Into the
                                              SIFAs This
                                              Due Period          SIFA Balance
      <S>                                   <C>                      <C>  
      Series 1994-2                         $4,607,947.78            $0.00
</TABLE>

<TABLE>
<CAPTION>
7.    Pool Factors
      ------------
                                                            This Due Period
      <S>                                                     <C>       
      Class A                                                 1.00000000

      Class B                                                 1.00000000
</TABLE>

<TABLE>
<CAPTION>
8.    Investor Charged-Off Amount
      ---------------------------
                                                                 Cumulative
                                                              Investor Charged-Off
                                            This Due Period       Amount
  <S>                                     <C>                        <C>  
  (a) Group One                           $100,357,279.92            $0.00

  (b) Group Two                            $15,765,675.46            $0.00

  (c) Series 1994-2                         $5,531,813.35            $0.00

  (d) Class A                               $5,255,274.64            $0.00

      Class B                                 $276,538.71            $0.00
</TABLE>

<TABLE>
<CAPTION>
9.    Investor Losses This Due Period
      -------------------------------
                                                             Per $1,000 of
                                                            Original Invested
                                                 Total         Principal
  <S>                                               <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1994-2                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>




<PAGE>   3
<TABLE>
<CAPTION>
10.   Reimbursement of Investor Losses This Due Period
      ------------------------------------------------         Per $1,000 of
                                                             Original Invested
                                                  Total        Principal
<S>                                                <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1994-2                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
11.   Aggregate Amount of Unreimbursed Investor Losses
      ------------------------------------------------         Per $1,000 of
                                                             Original Invested
                                                  Total        Principal
  <S>                                               <C>            <C>  
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1994-2                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
12.   Investor Monthly Servicing Fee Payable at the end of the Due Period
      -------------------------------------------------------------------
  <S>                                                      <C>           
  (a) Group One                                            $27,053,785.01

  (b) Group Two                                             $4,250,000.00

  (c) Series 1994-2                                         $1,491,228.34

  (d) Class A                                               $1,416,666.67

      Class B                                                  $74,561.67
</TABLE>

<TABLE>
<CAPTION>
13.   Class Available Subordinated Amount at the end of the Due Period
      ----------------------------------------------------------------
                                                             As a Percentage
                                                               of Class A
                                                 Total       Invested Amount
      <S>                                     <C>               <C>     
      Series 1994-2 Class B                   $89,473,700.00    10.5263%
</TABLE>

<TABLE>
<CAPTION>
14.   Total Available Credit Enhancement Amounts
      ------------------------------------------

                                               Shared Amount   Class B Amount
     <S>                                           <C>         <C>           
     Maximum Amount                                $0.00       $44,736,850.00

     Available Amount                              $0.00       $44,736,850.00

     Amount of Drawings on Credit Enhancement
       for this Due Period                         $0.00                $0.00
</TABLE>


<PAGE>   4
<TABLE>
<CAPTION>
15.   Delinquency Summary
      -------------------

      End of Due Period Master Trust Receivables Outstanding      $28,518,361,329.71

                          Delinquent Amount  Percentage of Ending
      Payment Status      Ending Balance     Receivables Outstanding
      <S>                 <C>                       <C>  
      30-59 days            $808,568,403.91          2.84%

      60-179 days         $1,201,933,922.02          4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY: 
                                  ----------------------------
                                        Vice President


<PAGE>   5
                     MASTER SERVICER'S CERTIFICATE STATEMENT

                          Discover Card Master Trust I

                         Series 1994-2 Monthly Statement

                                   CREDIT CARD
                            PASS-THROUGH CERTIFICATES

       The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of October 14, 1994 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1994-2 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
  <S>                                                                           <C>
  1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

  2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

  3.  The aggregate amount of Collections processed during the related Due
      Period is equal to                                                        $3,872,566,968.60

  4.  The aggregate amount of Class A Principal Collections processed
      during the related Due Period is equal to                                   $123,263,065.90

  5.  The aggregate amount of Class A Finance Charge Collections processed
      during the related Due Period is equal to                                    $13,841,295.06

  6a. The aggregate amount of Class A Principal Collections recharacterized
      as Series Yield Collections during the related Due Period is equal
      to                                                                                    $0.00

  6b. The aggregate amount of Class A Additional Funds for this Distribution
      date is equal to                                                                      $0.00

  7.  The amount of drawings under the Credit Enhancement required to be
      made on the related Drawing Date pursuant to the Series Supplement:

      (a) with respect to the Class A Required Amount Shortfall is equal to                 $0.00

      (b) with respect to the Class A Cumulative Investor Charged-Off
          Amount is equal to                                                                $0.00 

      (c) with respect to the Class A Investor Interest is equal to                         $0.00

  8.  The sum of all amounts payable to the Class A Certificateholders on
      the current Distribution Date is equal to                                     $4,307,837.07
</TABLE>
<PAGE>   6
<TABLE>
<S>                                                                                <C>
  9.  The aggregate amount of Class B Principal Collections processed
      during the related Due Period is equal to                                      $6,486,247.08

 10.  The aggregate amount of Class B Finance Charge Collections processed
      during the related Due Period is equal to                                        $728,345.18

 11a. The aggregate amount of Class B Principal Collections recharacterized
      as Series Yield Collections during the related Due Period is equal to                  $0.00

 11b. The aggregate amount of Class B Additional Funds for this Distribution
      date is equal to                                                                       $0.00

 12.  The amount of drawings under the Credit Enhancement required to be
      made on the related Drawing Date pursuant to the Series Supplement:

      (a) with respect to the Class B Required Amount Shortfall is equal to                  $0.00

      (b) with respect to the Class B Cumulative Investor Charged-Off Amount 
          is equal to                                                                        $0.00

      (c) with respect to the Class B Investor Interest is equal to                          $0.00

 13.  The sum of all amounts payable to the Class B Certificateholders on
      the current Distribution Date is equal to                                        $300,110.71

 14.  Attached hereto is a true copy of the statement required to be
      delivered by the Master Servicer on the date of this Certificate to the
      Trustee pursuant to Section 16 of the Series Supplement.
</TABLE>

       IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this 15th day of January, 1999.

                                GREENWOOD TRUST COMPANY
                                  as Master Servicer

                               By:
                                  -------------------------------
                                Vice President, Chief Accounting Officer,
                                and Treasurer


<PAGE>   1
                                                                     EXHIBIT (E)

                      MONTHLY CERTIFICATEHOLDERS' STATEMENT
                          Discover Card Master Trust I
                         Series 1994-3 Monthly Statement
                      Class A Certificate CUSIP #25466KAL3
                      Class B Certificate CUSIP #25466KAM1

Trust Distribution Date: January 15, 1999  Due Period Ending:  December 31, 1998

Pursuant to the Series Supplement dated as of October 20, 1994 relating to the
Pooling and Servicing Agreement dated as of October 1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust. The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

<TABLE>
<CAPTION>
1.   Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
     -----------------------------------------------------------------------------------------------------------
     Series  1994-3                                     Total              Interest            Principal
     <S>              <C>                            <C>                 <C>                 <C>
         Class A      31 days at 5.725470000%        $4.930265833        $4.930265833        $0.000000000

         Class B      30 days at 7.750000000%        $6.458333333        $6.458333333        $0.000000000
</TABLE>

<TABLE>
<CAPTION>
2.   Principal Receivables at the end of the Due Period
     --------------------------------------------------
     <S>                                                     <C>
     (a) Aggregate Investor Interest                          $18,653,104,342.64
         Seller Interest                                       $9,454,017,561.11

         Total Master Trust                                   $28,107,121,903.75

     (b) Group One Investor Interest                          $16,103,104,342.64

     (c) Group Two Investor Interest                           $2,550,000,000.00

     (d) Series 1994-3 Investor Interest                         $789,474,000.00

     (e) Class A Investor Interest                               $750,000,000.00

         Class B Investor Interest                                $39,474,000.00
</TABLE>

<TABLE>
<CAPTION>
3.   Allocation of Receivables Collected During the Due Period
     ---------------------------------------------------------

                                                                      Finance Charge           Principal                Yield
                                                                      Collections             Collections             Collections
     <S>                                                              <C>                   <C>                         <C>
     (a) Allocation of Collections between Investor and Seller

         Aggregate Investor Allocation.                               $305,843,595.24       $2,723,677,162.01            $0.00

         Seller:                                                       $85,109,264.76         $757,936,946.60            $0.00

     (b) Group One Allocation                                         $264,320,101.02       $2,353,891,445.90            $0.00

     (c) Group Two Allocation                                          $41,523,494.22         $369,785,716.11            $0.00

     (d) Series 1994-3 Allocations                                     $12,855,311.94         $114,482,435.11            $0.00

     (e) Class A Allocations                                           $12,212,585.44         $108,758,661.52            $0.00

         Class B Allocations                                              $642,726.50           $5,723,773.59            $0.00
</TABLE>
<PAGE>   2
<TABLE>
4.   Information Concerning the Series Principal Funding Accounts ("SPFA")
     ---------------------------------------------------------------------
                            Deposits into the
                               SPFAs This        SPFA     Deposit Deficit    Investment
                               Due Period       Balance       Amount           Income
     <S>                         <C>           <C>           <C>              <C>
     Series 1994-3                $0.00         $0.00          0.00            $0.00
</TABLE>

<TABLE>
<CAPTION>
5.   Information Concerning Amount of Controlled Liquidation Payments
     ----------------------------------------------------------------
                                                                      Total Payments
                                 Amount Paid       Deficit Amount      Through This
                               This Due Period     This Due Period      Due Period
     <S>                            <C>                 <C>                <C>
     Series 1994-3                  $0.00               $0.00              $0.00
</TABLE>

<TABLE>
<CAPTION>
6.   Information Concerning the Series Interest Funding Accounts ("SIFA")
     --------------------------------------------------------------------
                                      Deposits Into the
                                         SIFAs This
                                         Due Period         SIFA Balance
     <S>                               <C>                        <C>
     Series 1994-3                     $3,952,635.63               $0.00
</TABLE> 

<TABLE>
<CAPTION>
7.   Pool Factors
     ------------
                                                         This Due Period
     <S>                                                      <C>          
     Class A                                                  1.00000000

     Class B                                                  1.00000000
</TABLE>

<TABLE>
<CAPTION>
8.   Investor Charged-Off Amount
     ---------------------------
                                                                      Cumulative
                                                                 Investor Charged-Off
                                             This Due Period            Amount
     <S>                                     <C>                        <C>
     (a) Group One                           $100,357,279.92            $0.00

     (b) Group Two                            $15,765,675.46            $0.00

     (c) Series 1994-3                         $4,880,915.73            $0.00

     (d) Class A                               $4,636,884.79            $0.00

         Class B                                 $244,030.94            $0.00
</TABLE>

<TABLE>
<CAPTION>
9.   Investor Losses This Due Period
     -------------------------------
                                                                  Per $1,000 of
                                                                Original Invested
                                                       Total        Principal
     <S>                                               <C>            <C>
     (a) Group One                                     $0.00          $0.00

     (b) Group Two                                     $0.00          $0.00

     (c) Series 1994-3                                 $0.00          $0.00

     (d) Class A                                       $0.00          $0.00

         Class B                                       $0.00          $0.00
</TABLE>
<PAGE>   3
<TABLE>
<CAPTION>
10.  Reimbursement of Investor Losses This Due Period
     ------------------------------------------------                                                            
                                                                  Per $1,000 of
                                                                Original Invested
                                                       Total        Principal
     <S>                                               <C>            <C>
     (a) Group One                                     $0.00          $0.00

     (b) Group Two                                     $0.00          $0.00

     (c) Series 1994-3                                 $0.00          $0.00

     (d) Class A                                       $0.00          $0.00

         Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
11.  Aggregate Amount of Unreimbursed Investor Losses
     -----------------------------------------------------
                                                                  Per $1,000 of
                                                                Original Invested
                                                       Total        Principal
     <S>                                               <C>            <C>
     (a) Group One                                     $0.00          $0.00

     (b) Group Two                                     $0.00          $0.00

     (c) Series 1994-3                                 $0.00          $0.00

     (d) Class A                                       $0.00          $0.00

         Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
12.  Investor Monthly Servicing Fee Payable at the end of the Due Period
     -------------------------------------------------------------------
     <S>                                                      <C>
     (a) Group One                                            $27,053,785.01

     (b) Group Two                                             $4,250,000.00

     (c) Series 1994-3                                         $1,315,790.00

     (d) Class A                                               $1,250,000.00

         Class B                                                  $65,790.00
</TABLE>

<TABLE>
<CAPTION>
13.  Class Available Subordinated Amount at the end of the Due Period
     ----------------------------------------------------------------
                                                                As a Percentage
                                                                  of Class A
                                                 Total         Invested Amount
     <S>                                     <C>                  <C>
     Series 1994-3 Class B                   $78,947,400.00       10.5263%
</TABLE>

<TABLE>
<CAPTION>
14.  Total Available Credit Enhancement Amounts
     ------------------------------------------
                                             Shared Amount       Class B Amount
     <S>                                             <C>         <C>
     Maximum Amount                                  $0.00       $39,473,700.00

     Available Amount                                $0.00       $39,473,700.00

     Amount of Drawings on Credit Enhancement
       for this Due Period                           $0.00                $0.00
</TABLE>
<PAGE>   4
<TABLE>
<CAPTION>
15.  Delinquency Summary
     -------------------

     End of Due Period Master Trust Receivables Outstanding   $28,518,361,329.71

                         Delinquent Amount     Percentage of Ending
     Payment Status      Ending Balance        Receivables Outstanding
<S>                      <C>                           <C>
     30-59 days            $808,568,403.91             2.84%

     60-179 days         $1,201,933,922.02             4.21%
</TABLE>


                                      U.S. BANK NATIONAL ASSOCIATION
                                      as Trustee

                                   BY: 
                                       -----------------------------

                                             Vice President
<PAGE>   5
                     MASTER SERVICER'S CERTIFICATE STATEMENT

                          Discover Card Master Trust I

                         Series 1994-3 Monthly Statement

                                   CREDIT CARD
                            PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of October 20, 1994 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1994-3 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
<S>                                                                                  <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                              $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during the
     related Due Period is equal to                                                    $108,758,661.52

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                          $12,212,585.44

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                          $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                            $0.00

  7. The amount of drawings under the Credit Enhancement required to be made on
     the related Drawing Date pursuant to the Series Supplement:

     (a) with respect to the Class A Required Amount Shortfall
         is equal to                                                                             $0.00

     (b) with respect to the Class A Cumulative Investor Charged-Off
         Amount is equal to                                                                      $0.00

     (c) with respect to the Class A Investor Interest is equal to                               $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders on the
     current Distribution Date is equal to                                               $3,697,699.38
</TABLE>

<PAGE>   6
<TABLE>
<S>                                                                                     <C>
 9.  The aggregate amount of Class B Principal Collections processed during the
     related Due Period is equal to                                                      $5,723,773.59

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                             $642,726.50

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                          $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                            $0.00

 12. The amount of drawings under the Credit Enhancement required to be made on
     the related Drawing Date pursuant to the Series Supplement:

     (a) with respect to the Class B Required Amount Shortfall
         is equal to                                                                             $0.00

     (b) with respect to the Class B Cumulative Investor Charged-Off
         Amount is equal to                                                                      $0.00

     (c) with respect to the Class B Investor Interest is equal to                               $0.00

13.  The sum of all amounts payable to the Class B Certificateholders on the
     current Distribution Date is equal to                                                 $254,936.25

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant
     to Section 16 of the Series Supplement.
</TABLE>

       IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this 15th day of January, 1999.

                           GREENWOOD TRUST COMPANY
                             as Master Servicer

                           By:
                              ------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer

<PAGE>   1

                                                                     EXHIBIT (F)
                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1994-A Monthly Statement

Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of December 20, 1994 relating to
the Pooling and Servicing Agreement dated as of October 1, 1993 by and
between Greenwood Trust Company and U.S. Bank National Association, as
Trustee, the Trustee is required to prepare certain information each month
regarding current distributions to Certificateholders and the performances
of the Trust. The information for the Due Period and the Trust Distribution
Date listed above is set forth below:
<TABLE>
<CAPTION>
1.   Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
- ---------------------------------------------------------------------------------------------------------------

     Series  1994-A                                              Total      Interest         Principal
           <S>           <C>                                <C>            <C>            <C>
            Class A      30 days at 5.599413610%            $4.666178008   $4.666178008   $0.000000000
</TABLE>

<TABLE>
<CAPTION>
2.   Principal Receivables at the end of the Due Period
- --------------------------------------------------------
<S>                                                      <C>
  (a) Aggregate Investor Interest                        $18,653,104,342.64
      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75

  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1994-A Investor Interest                     $2,550,000,000.00

  (e) Class A Investor Interest                           $2,550,000,000.00

      Class B Investor Interest                                       $0.00
</TABLE>

<TABLE>
<CAPTION>
3.   Allocation of Receivables Collected During the Due Period

                                                                Finance Charge          Principal           Yield    
                                                                 Collections           Collections        Collections
<S>                                                            <C>                     <C>                          <C>  
  (a) Allocation of Collections between Investor and Seller      

      Aggregate Investor Allocation.                           $305,843,595.24         $2,723,677,162.01            $0.00

      Seller:                                                   $85,109,264.76           $757,936,946.60            $0.00

  (b) Group One Allocation                                     $264,320,101.02         $2,353,891,445.90            $0.00

  (c) Group Two Allocation                                      $41,523,494.22           $369,785,716.11            $0.00

  (d) Series 1994-A Allocations                                 $41,523,494.22           $369,785,716.11            $0.00

  (e) Class A Allocations                                       $41,523,494.22           $369,785,716.11            $0.00

      Class B Allocations                                                $0.00                     $0.00            $0.00
</TABLE>

<PAGE>   2

<TABLE>
<CAPTION>
4.   Information Concerning the Series Principal Funding Accounts ("SPFA)
     --------------------------------------------------------------------
                   Deposits into the SFPA's
                                                 This Due     Total     Deposit Deficit  Investment
                                                 Period      Deposits        Amount        Income
     <S>                                         <C>           <C>            <C>          <C>  
     Series 1994-A                                $0.00         $0.00         0.00         $0.00
</TABLE>

<TABLE>
<CAPTION>
5.   Information Concerning Amount of Controlled Liquidation Payments
     ----------------------------------------------------------------
                                                                                   Total Payments
                                              Amount Paid       Deficit Amount       Through This
                                            This Due Period     This Due Period       Due Period

     <S>                                       <C>                  <C>                <C>  
     Series 1994-A                              $0.00                $0.00              $0.00
</TABLE>

<TABLE>
<CAPTION>
6.   Information Concerning the Series Interest Funding Accounts ("SIFA")
     --------------------------------------------------------------------

                                            Deposits Into the
                                              SIFAs This
                                              Due Period           SIFA Balance

     <S>                                     <C>                       <C>  
     Series 1994-A                           $11,898,753.93            $0.00
</TABLE>

<TABLE>
<CAPTION>
7.   Pool Factors
     ------------
                                                                This Due Period

     <S>                                                            <C>       
     Class A                                                        1.00000000

     Class B                                                        0.00000000
</TABLE>

<TABLE>
<CAPTION>
8.   Investor Charged-Off Amount
     ---------------------------
                                                                   Cumulative
                                                                     Investor
                                                                   Charged-Off
                                         This Due Period              Amount

<S>                                       <C>                           <C>  
  (a) Group One                           $100,357,279.92               $0.00

  (b) Group Two                            $15,765,675.46               $0.00

  (c) Series 1994-A                        $15,765,675.46               $0.00

  (d) Class A                              $15,765,675.46               $0.00

      Class B                                       $0.00               $0.00

</TABLE>

<TABLE>
<CAPTION>
9.   Investor Losses This Due Period
     -------------------------------
                                                                 Per $1,000 of
                                                               Original Invested
                                                   Total           Principal

<S>                                                 <C>                 <C>  
  (a) Group One                                     $0.00               $0.00

  (b) Group Two                                     $0.00               $0.00

  (c) Series 1994-A                                 $0.00               $0.00

  (d) Class A                                       $0.00               $0.00

      Class B                                       $0.00               $0.00
</TABLE>



<PAGE>   3



<TABLE>
<CAPTION>
10.  Reimbursement of Investor Losses This Due Period
     ------------------------------------------------
                                                                 Per $1,000 of
                                                               Original Invested
                                                   Total           Principal

  <S>                                               <C>                <C>  
  (a) Group One                                     $0.00              $0.00

  (b) Group Two                                     $0.00              $0.00

  (c) Series 1994-A                                 $0.00              $0.00

  (d) Class A                                       $0.00              $0.00

      Class B                                       $0.00              $0.00
</TABLE>

<TABLE>
<CAPTION>
11.  Aggregate Amount of Unreimbursed Investor Losses
     ------------------------------------------------
                                                                 Per $1,000 of
                                                               Original Invested
                                                 Total             Principal

  <S>                                               <C>                 <C>  
  (a) Group One                                     $0.00               $0.00

  (b) Group Two                                     $0.00               $0.00

  (c) Series 1994-A                                 $0.00               $0.00

  (d) Class A                                       $0.00               $0.00

      Class B                                       $0.00               $0.00
</TABLE>

<TABLE>
<CAPTION>
12.  Investor Monthly Servicing Fee Payable at the end of the Due Period
     -------------------------------------------------------------------

  <S>                                                          <C>           
  (a) Group One                                                $27,053,785.01

  (b) Group Two                                                 $4,250,000.00

  (c) Series 1994-A                                             $4,250,000.00

  (d) Class A                                                   $4,250,000.00

      Class B                                                           $0.00
</TABLE>

<TABLE>
<CAPTION>
13.  Class Available Subordinated Amount at the end of the Due Period
     ----------------------------------------------------------------
                                                                     As a Percentage
                                                                        of Class A
                                                        Total         Invested Amount

     <S>                                                <C>               <C>    
     Series 1994-A Class B                               $0.00             0.0000%
</TABLE>     

<TABLE>
<CAPTION>
14.  Total Available Credit Enhancement Amounts
     ------------------------------------------
                                                         Shared Amount           Class B Amount

    <S>                                                <C>                           <C>  
     Maximum Amount                                     $204,000,000.00               $0.00

     Available Amount                                   $204,000,000.00               $0.00

     Amount of Drawings on Credit Enhancement
      for this Due Period                                         $0.00               $0.00
</TABLE>

<PAGE>   4

<TABLE>
<CAPTION>
15.  Delinquency Summary
     -------------------

     End of Due Period Master Trust Receivables Outstanding   $28,518,361,329.71

                               Delinquent Amount           Percentage of Ending
     Payment Status              Ending Balance          Receivables Outstanding

     <S>                        <C>                             <C>  
     30-59 days                   $808,568,403.91                 2.84%

     60-179 days                $1,201,933,922.02                 4.21%
</TABLE>

                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee

                              BY: 
                                  ----------------------------
 
                                        Vice President


<PAGE>   5



                     MASTER SERVICER'S CERTIFICATE STATEMENT

                          Discover Card Master Trust I

                         Series 1994-A Monthly Statement

                                   CREDIT CARD
                            PASS-THROUGH CERTIFICATES

       The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of December 20, 1994 (the "Series Supplement")
by and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1994-A Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:
<TABLE>
<CAPTION>
<S>   <C>                                                                       <C>          
 1.   Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.   The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.   The aggregate amount of Collections processed during the related Due
      Period is equal to                                                        $3,872,566,968.60

 4.   The aggregate amount of Class A Principal Collections processed
      during the related Due Period is equal to                                   $369,785,716.11

 5.   The aggregate amount of Class A Finance Charge Collections processed
      during the related Due Period is equal to                                    $41,523,494.22

 6a.  The aggregate amount of Class A Principal Collections recharacterized
      as Series Yield Collections during the related Due Period is equal
      to                                                                                    $0.00

 6b.  The aggregate amount of Class A Additional Funds for this Distribution
      Date is equal to                                                                      $0.00

 7.   The sum of all amounts payable to the Class A Certificateholders on
      the current Distribution Date is equal to                                    $11,898,753.93

 8.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                             $0.00
           is equal to

     (b)   with respect to the Class A Cumulative Investor Charged-Off                      $0.00
           Amount is equal to

     (c) with respect to the Class A Investor Interest is equal to                          $0.00
</TABLE>

<PAGE>   6

 9.  Attached hereto is a true copy of the statement required to be
     delivered by the Master Servicer on the date of this Certificate to the
     Trustee pursuant to Section 16 of the Series Supplement.

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
 certificate this 15th day of January, 1999.

                           GREENWOOD TRUST COMPANY

                                as Master Servicer

                           By:
                              -------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer

<PAGE>   1
                                                                    EXHIBIT (G)

                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1995-1 Monthly Statement
                   Class A Certificate CUSIP #25466KAN9
                   Class B Certificate CUSIP #25466KAP4


Trust Distribution Date: January 15, 1999 Due Period Ending:  December 31, 1998

Pursuant to the Series Supplement dated as of April 19, 1995 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

1.   Payments for the benefit of Series Investors this Due Period (per $1000 of 
     ---------------------------------------------------------------------------
     Class Initial Investor Interest)
     -------------------------------
<TABLE>
<CAPTION>
     Series  1995-1                                               Total             Interest            Principal
           <S>                <C>                           <C>                <C>                 <C>         
           Class A            31 days at 5.815470000%        $5.007765833       $5.007765833        $0.000000000

           Class B            31 days at 5.985470000%        $5.154154722       $5.154154722        $0.000000000
</TABLE>

2.   Principal Receivables at the end of the Due Period
     --------------------------------------------------
<TABLE>
<S>                                                     <C>               
  (a) Aggregate Investor Interest                        $18,653,104,342.64
      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75


  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1995-1 Investor Interest                       $631,579,000.00

  (e) Class A Investor Interest                             $600,000,000.00

      Class B Investor Interest                              $31,579,000.00
</TABLE>

3.   Allocation of Receivables Collected During the Due Period
     ---------------------------------------------------------
<TABLE>
<CAPTION>
                                                Finance Charge              Principal               Yield
                                                  Collections              Collections            Collections

  
   <S>                                         <C>                     <C>                          <C> 
  (a) Allocation of Collections between 
      Investor and Seller

      Aggregate Investor Allocation             $305,843,595.24         $2,723,677,162.01            $0.00

      Seller                                     $85,109,264.76           $757,936,946.60            $0.00

  (b) Group One Allocation                      $264,320,101.02         $2,353,891,445.90            $0.00

  (c) Group Two Allocation                       $41,523,494.22           $369,785,716.11            $0.00

  (d) Series 1995-1 Allocations                  $10,284,405.95            $91,587,340.74            $0.00

  (e) Class A Allocations                         $9,770,302.93            $87,009,018.19            $0.00

      Class B Allocations                           $514,103.02             $4,578,322.55            $0.00
</TABLE>


<PAGE>   2


4.   Information Concerning the Series Principal Funding Accounts ("SPFA")
     --------------------------------------------------------------------
<TABLE>
<CAPTION>
                                 Deposits into the
                                    SPFAs This          SPFA    Deposit Deficit    Investment
                                    Due Period         Balance      Amount           Income
     <S>                                  <C>           <C>               <C>          <C>  
     Series 1995-1                        $0.00         $0.00             0.00         $0.00
</TABLE>

5.   Information Concerning Amount of Controlled Liquidation Payments
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                         Total Payments
                                        Amount Paid      Deficit Amount   Through This
                                      This Due Period   This Due Period    Due Period
     <S>                                        <C>              <C>               <C>  
     Series 1995-1                              $0.00            $0.00             $0.00
</TABLE>

6.   Information Concerning the Series Interest Funding Accounts ("SIFA")
     -------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                        Deposits Into the
                                                          SIFAs This
                                                          Due Period     SIFA Balance
     <S>                                               <C>                      <C>  
     Series 1995-1                                     $3,167,422.55            $0.00
</TABLE>

7.   Pool Factors
     ------------
<TABLE>
<CAPTION>
                                                                      This Due Period
<S>                                                                        <C>       
     Class A                                                               1.00000000

     Class B                                                               1.00000000
</TABLE>

8.   Investor Charged-Off Amount
     ---------------------------
<TABLE>
<CAPTION>
                                                                      Cumulative
                                                                  Investor Charged-Off
                                        This Due Period                Amount
<S>                                      <C>                                    <C>  
  (a) Group One                          $100,357,279.92                        $0.00

  (b) Group Two                           $15,765,675.46                        $0.00

  (c) Series 1995-1                        $3,904,791.96                        $0.00

  (d) Class A                              $3,709,596.89                        $0.00

      Class B                                $195,195.07                        $0.00
</TABLE>

9.   Investor Losses This Due Period
     -------------------------------
<TABLE>
<CAPTION>
                                                                    Per $1,000 of
                                                                  Original Invested
                                                        Total         Principal
<S>                                                       <C>                  <C>  
  (a) Group One                                           $0.00                $0.00

  (b) Group Two                                           $0.00                $0.00

  (c) Series 1995-1                                       $0.00                $0.00

  (d) Class A                                             $0.00                $0.00

      Class B                                             $0.00                $0.00
</TABLE>



<PAGE>   3





10.  Reimbursement of Investor Losses This Due Period
     ------------------------------------------------
<TABLE>
<CAPTION>
                                                                        Per $1,000 of
                                                                     Original Invested
                                                          Total          Principal
<S>                                                         <C>            <C>  
  (a) Group One                                             $0.00          $0.00

  (b) Group Two                                             $0.00          $0.00

  (c) Series 1995-1                                         $0.00          $0.00

  (d) Class A                                               $0.00          $0.00

      Class B                                               $0.00          $0.00
</TABLE>

11.  Aggregate Amount of Unreimbursed Investor Losses                  
     ------------------------------------------------
<TABLE>
<CAPTION>
                                                                        Per $1,000 of
                                                                     Original Invested
                                                          Total         Principal
<S>                                                         <C>            <C>  
  (a) Group One                                             $0.00          $0.00

  (b) Group Two                                             $0.00          $0.00

  (c) Series 1995-1                                         $0.00          $0.00

  (d) Class A                                               $0.00          $0.00

      Class B                                               $0.00          $0.00
</TABLE>

12.  Investor Monthly Servicing Fee Payable at the end of the Due Period
     --------------------------------------------------------------------
<TABLE>
<S>                                                                 <C>           
  (a) Group One                                                     $27,053,785.01

  (b) Group Two                                                      $4,250,000.00

  (c) Series 1995-1                                                  $1,052,631.67

  (d) Class A                                                        $1,000,000.00

      Class B                                                           $52,631.67
</TABLE>

13.  Class Available Subordinated Amount at the end of the Due Period
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                     As a Percentage
                                                                       of Class A
                                                         Total       Invested Amount
     <S>                                             <C>               <C>     
     Series 1995-1 Class B                           $69,473,690.00    11.5789%
</TABLE>

14.  Total Available Credit Enhancement Amounts
     ------------------------------------------
<TABLE>
<CAPTION>
                                                   Shared Amount   Class B Amount
<S>                                                         <C>     <C>           
     Maximum Amount                                         $0.00   $37,894,740.00

     Available Amount                                       $0.00   $37,894,740.00

     Amount of Drawings on Credit Enhancement
       for this Due Period                                  $0.00            $0.00
</TABLE>



<PAGE>   4





15.  Delinquency Summary
     -------------------
<TABLE>
<CAPTION>
     End of Due Period Master Trust Receivables Outstanding     $28,518,361,329.71

                               Delinquent Amount          Percentage of Ending
     Payment Status            Ending Balance             Receivables Outstanding
     <S>                        <C>                              <C>  
     30-59 days                   $808,568,403.91                  2.84%

     60-179 days                $1,201,933,922.02                  4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY:
                                 ------------------------------
                                        Vice President







<PAGE>   5



                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1995-1 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of April 19, 1995 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1995-1 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:


<TABLE>
<S>                                                                             <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                         $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                            $87,009,018.19

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                      $9,770,302.93

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                     $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                       $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall
          is equal to                                                                       $0.00

     (b)  with respect to the Class A Cumulative Investor Charged-Off                       $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                         $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                   $3,004,659.50
</TABLE>



<PAGE>   6

<TABLE>
<S>                                                                                     <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $4,578,322.55

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $514,103.02

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall  
          is equal to                                                                           $0.00

     (b)  with respect to the Class B Cumulative Investor Charged-Off
          Amount is equal to                                                                    $0.00

     (c)  with respect to the Class B Investor Interest is equal to                             $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                         $162,763.05

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                             as Master Servicer

                           By:
                              ---------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer






<PAGE>   1

                                                                   EXHIBIT (H)

                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1995-2 Monthly Statement
                   Class A Certificate CUSIP #25466KAQ2
                   Class B Certificate CUSIP #25466KAR0


Trust Distribution Date: January 15, 1999  Due Period Ending:  December 31, 1998

Pursuant to the Series Supplement dated as of August  1, 1995 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

1.   Payments for the benefit of Series Investors this Due Period (per $1000 of 
     ---------------------------------------------------------------------------
     Class Initial Investor Interest)
     -------------------------------
<TABLE>
<CAPTION>
     Series  1995-2                                                 Total               Interest          Principal
           <S>                  <C>                             <C>                  <C>                <C>         
           Class A              30 days at 6.550000000%         $5.458333333         $5.458333333       $0.000000000

           Class B              30 days at 6.750000000%         $5.625000000         $5.625000000       $0.000000000
</TABLE>

2.   Principal Receivables at the end of the Due Period
     --------------------------------------------------
<TABLE>
<S>                                                                                        <C>               
  (a) Aggregate Investor Interest                                                          $18,653,104,342.64
      Seller Interest                                                                       $9,454,017,561.11

      Total Master Trust                                                                   $28,107,121,903.75


  (b) Group One Investor Interest                                                          $16,103,104,342.64

  (c) Group Two Investor Interest                                                           $2,550,000,000.00

  (d) Series 1995-2 Investor Interest                                                         $526,316,000.00

  (e) Class A Investor Interest                                                               $500,000,000.00

      Class B Investor Interest                                                                $26,316,000.00
</TABLE>

3.   Allocation of Receivables Collected During the Due Period
     ---------------------------------------------------------
<TABLE>
<CAPTION>
                                         Finance Charge       Principal        Yield
                                          Collections        Collections     Collections

<S>                                     <C>               <C>                          <C>  
  (a) Allocation of Collections 
      between Investor and Seller

      Aggregate Investor Allocation     $305,843,595.24   $2,723,677,162.01            $0.00

      Seller                             $85,109,264.76     $757,936,946.60            $0.00

  (b) Group One Allocation              $264,320,101.02   $2,353,891,445.90            $0.00

  (c) Group Two Allocation               $41,523,494.22     $369,785,716.11            $0.00

  (d) Series 1995-2 Allocations           $8,570,468.59      $76,323,944.49            $0.00

  (e) Class A Allocations                 $8,141,984.26      $72,508,095.43            $0.00

      Class B Allocations                   $428,484.33       $3,815,849.06            $0.00
</TABLE>



<PAGE>   2

4.   Information Concerning the Series Principal Funding Accounts ("SPFA")
     --------------------------------------------------------------------
<TABLE>
<CAPTION>
                                 Deposits into the
                                    SPFAs This        SPFA    Deposit Deficit   Investment
                                    Due Period       Balance     Amount           Income
     <S>                                 <C>           <C>             <C>          <C>  
     Series 1995-2                       $0.00         $0.00           0.00         $0.00
</TABLE>

5.   Information Concerning Amount of Controlled Liquidation Payments
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                              Total Payments
                                     Amount Paid        Deficit Amount         Through This
                                    This Due Period     This Due Period         Due Period
     <S>                                      <C>                 <C>                   <C>  
     Series 1995-2                            $0.00               $0.00                 $0.00
</TABLE>

6.   Information Concerning the Series Interest Funding Accounts ("SIFA")
     -------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                               Deposits Into the 
                                                                 SIFAs This
                                                                 Due Period      SIFA Balance
     <S>                                                       <C>                <C>           
     Series 1995-2                                             $2,877,194.17      $14,385,970.85
</TABLE>

7.   Pool Factors
     ------------
<TABLE>
<CAPTION>
                                                                               This Due Period
<S>                                                                             <C>       
     Class A                                                                    1.00000000

     Class B                                                                    1.00000000
</TABLE>

8.   Investor Charged-Off Amount
     ---------------------------
<TABLE>
<CAPTION>
                                                                                Cumulative
                                                                             Investor Charged-Off
                                                        This Due Period           Amount
<S>                                                        <C>                              <C>  
  (a) Group One                                            $100,357,279.92                  $0.00

  (b) Group Two                                             $15,765,675.46                  $0.00

  (c) Series 1995-2                                          $3,254,042.78                  $0.00

  (d) Class A                                                $3,091,355.48                  $0.00

      Class B                                                  $162,687.30                  $0.00
</TABLE>

9.   Investor Losses This Due Period
     -------------------------------
<TABLE>
<CAPTION>
                                                                                Per $1,000 of
                                                                               Original Invested
                                                                    Total        Principal
<S>                                                                   <C>                 <C>  
  (a) Group One                                                       $0.00               $0.00

  (b) Group Two                                                       $0.00               $0.00

  (c) Series 1995-2                                                   $0.00               $0.00

  (d) Class A                                                         $0.00               $0.00

      Class B                                                         $0.00               $0.00
</TABLE>

<PAGE>   3







10.  Reimbursement of Investor Losses This Due Period
     ------------------------------------------------
<TABLE>
<CAPTION>
                                                                                    Per $1,000 of
                                                                                  Original Invested
                                                                       Total        Principal
<S>                                                                      <C>                <C>  
  (a) Group One                                                          $0.00              $0.00

  (b) Group Two                                                          $0.00              $0.00

  (c) Series 1995-2                                                      $0.00              $0.00

  (d) Class A                                                            $0.00              $0.00

      Class B                                                            $0.00              $0.00
</TABLE>

11.  Aggregate Amount of Unreimbursed Investor Losses
     ------------------------------------------------
<TABLE>
<CAPTION>
                                                                                    Per $1,000 of
                                                                                  Original Invested
                                                                       Total         Principal
<S>                                                                      <C>                <C>  
  (a) Group One                                                          $0.00              $0.00

  (b) Group Two                                                          $0.00              $0.00

  (c) Series 1995-2                                                      $0.00              $0.00

  (d) Class A                                                            $0.00              $0.00

      Class B                                                            $0.00              $0.00
</TABLE>

12.  Investor Monthly Servicing Fee Payable at the end of the Due Period
     -------------------------------------------------------------------
<TABLE>
<S>                                                                                 <C>           
  (a) Group One                                                                      $27,053,785.01

  (b) Group Two                                                                       $4,250,000.00

  (c) Series 1995-2                                                                     $877,193.33

  (d) Class A                                                                           $833,333.33

      Class B                                                                            $43,860.00
</TABLE>

13.  Class Available Subordinated Amount at the end of the Due Period
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                    As a Percentage
                                                                                      of Class A
                                                                    Total           Invested Amount
     <S>                                                           <C>                    <C>    
     Series 1995-2 Class B                                         $34,210,540.00         6.8421%
</TABLE>

14.  Total Available Credit Enhancement Amounts
     ------------------------------------------
<TABLE>
<CAPTION>
                                                                      Shared Amount  Class B Amount
<S>                                                                         <C>     <C>           
     Maximum Amount                                                         $0.00   $15,789,480.00

     Available Amount                                                       $0.00   $15,789,480.00

     Amount of Drawings on Credit Enhancement
       for this Due Period                                                  $0.00            $0.00
</TABLE>




<PAGE>   4




15.  Delinquency Summary
     -------------------
<TABLE>
<CAPTION>
     End of Due Period Master Trust Receivables Outstanding     $28,518,361,329.71

                                    Delinquent Amount           Percentage of Ending
     Payment Status                 Ending Balance              Receivables Outstanding
     <S>                             <C>                               <C>  
     30-59 days                        $808,568,403.91                 2.84%

     60-179 days                     $1,201,933,922.02                 4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY:
                                  -----------------------------
                                        Vice President



<PAGE>   5




                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1995-2 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of August  1, 1995 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1995-2 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
<S>                                                                                     <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                 $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                    $72,508,095.43

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                              $8,141,984.26

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                             $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                               $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall
          is equal to                                                                               $0.00

     (b)  with respect to the Class A Cumulative Investor Charged-Off
          Amount is equal to                                                                        $0.00

     (c)  with respect to the Class A Investor Interest is equal to                                 $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                                   $0.00
</TABLE>




<PAGE>   6

<TABLE>
<S>                                                                                     <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $3,815,849.06

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $428,484.33

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall
          is equal to                                                                           $0.00

     (b)  with respect to the Class B Cumulative Investor Charged-Off
          Amount is equal to                                                                    $0.00

     (c)  with respect to the Class B Investor Interest is equal to                             $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                               $0.00

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                             as Master Servicer

                           By:
                              ---------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer


<PAGE>   1


                                                                    EXHIBIT (I)

                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1995-3 Monthly Statement
                   Class A Certificate CUSIP #25466KAS8
                   Class B Certificate CUSIP #25466KAT6


Trust Distribution Date: January 15, 1999  Due Period Ending:  December 31, 1998

Pursuant to the Series Supplement dated as of September 28, 1995 relating to
the Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

1.   Payments for the benefit of Series Investors this Due Period 
     ------------------------------------------------------------
     (per $1000 of Class Initial Investor Interest)
     ---------------------------------------------
<TABLE>
<CAPTION>
     Series  1995-3                                           Total              Interest              Principal
          <S>                                           <C>                   <C>                    <C>         
           Class A      31 days at 5.745470000%         $4.947488056          $4.947488056           $0.000000000

           Class B      31 days at 5.865470000%         $5.050821389          $5.050821389           $0.000000000
</TABLE>

2.   Principal Receivables at the end of the Due Period
     --------------------------------------------------
<TABLE>
<S>                                                                                       <C>               
  (a) Aggregate Investor Interest                                                         $18,653,104,342.64
      Seller Interest                                                                      $9,454,017,561.11

      Total Master Trust                                                                  $28,107,121,903.75


  (b) Group One Investor Interest                                                         $16,103,104,342.64

  (c) Group Two Investor Interest                                                          $2,550,000,000.00

  (d) Series 1995-3 Investor Interest                                                        $526,316,000.00

  (e) Class A Investor Interest                                                              $500,000,000.00

      Class B Investor Interest                                                               $26,316,000.00
</TABLE>

3.   Allocation of Receivables Collected During the Due Period
     ---------------------------------------------------------
<TABLE>
<CAPTION>
                                        Finance Charge              Principal               Yield
                                         Collections               Collections            Collections

<S>                                      <C>                    <C>                          <C>  
  (a) Allocation of Collections between
      Investor and Seller

      Aggregate Investor Allocation      $305,843,595.24        $2,723,677,162.01            $0.00

      Seller                              $85,109,264.76          $757,936,946.60            $0.00

  (b) Group One Allocation               $264,320,101.02        $2,353,891,445.90            $0.00

  (c) Group Two Allocation                $41,523,494.22          $369,785,716.11            $0.00

  (d) Series 1995-3 Allocations            $8,570,468.59           $76,323,944.49            $0.00

  (e) Class A Allocations                  $8,141,984.26           $72,508,095.43            $0.00

      Class B Allocations                    $428,484.33            $3,815,849.06            $0.00
</TABLE>


<PAGE>   2


4.   Information Concerning the Series Principal Funding Accounts ("SPFA")
     --------------------------------------------------------------------
<TABLE>
<CAPTION>
                                  Deposits into the
                                     SPFAs This        SPFA    Deposit Deficit   Investment
                                     Due Period       Balance    Amount            Income
     <S>                                  <C>         <C>                <C>          <C>  
     Series 1995-3                        $0.00       $0.00              0.00         $0.00
</TABLE>

5.   Information Concerning Amount of Controlled Liquidation Payments
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                         Total Payments
                                      Amount Paid      Deficit Amount     Through This
                                     This Due Period   This Due Period     Due Period
     <S>                                       <C>              <C>               <C>  
     Series 1995-3                             $0.00            $0.00             $0.00
</TABLE>

6.   Information Concerning the Series Interest Funding Accounts ("SIFA")
     -------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                               Deposits Into the 
                                                                 SIFAs This
                                                                 Due Period      SIFA Balance
     <S>                                                        <C>                       <C>  
     Series 1995-3                                              $2,606,661.45             $0.00
</TABLE>

7.   Pool Factors
     ------------
<TABLE>
<CAPTION>
                                                                               This Due Period
<S>                                                                             <C>       
     Class A                                                                    1.00000000

     Class B                                                                    1.00000000
</TABLE>

8.   Investor Charged-Off Amount
     ---------------------------
<TABLE>
<CAPTION>
                                                                          Cumulative
                                                                      Investor Charged-Off
                                                    This Due Period        Amount
<S>                                                  <C>                            <C>  
  (a) Group One                                      $100,357,279.92                $0.00

  (b) Group Two                                       $15,765,675.46                $0.00

  (c) Series 1995-3                                    $3,254,042.78                $0.00

  (d) Class A                                          $3,091,355.48                $0.00

      Class B                                            $162,687.30                $0.00
</TABLE>

9.   Investor Losses This Due Period
     -------------------------------
<TABLE>
<CAPTION>
                                                                         Per $1,000 of
                                                                        Original Invested
                                                             Total        Principal
<S>                                                            <C>            <C>  
  (a) Group One                                                $0.00          $0.00

  (b) Group Two                                                $0.00          $0.00

  (c) Series 1995-3                                            $0.00          $0.00

  (d) Class A                                                  $0.00          $0.00

      Class B                                                  $0.00          $0.00
</TABLE>




<PAGE>   3




10.  Reimbursement of Investor Losses This Due Period
     ------------------------------------------------
<TABLE>
<CAPTION>
                                                                           Per $1,000 of
                                                                          Original Invested
                                                               Total        Principal
<S>                                                              <C>            <C>  
  (a) Group One                                                  $0.00          $0.00

  (b) Group Two                                                  $0.00          $0.00

  (c) Series 1995-3                                              $0.00          $0.00

  (d) Class A                                                    $0.00          $0.00

      Class B                                                    $0.00          $0.00
</TABLE>

11.  Aggregate Amount of Unreimbursed Investor Losses
     ------------------------------------------------
<TABLE>
<CAPTION>
                                                                          Per $1,000 of
                                                                         Original Invested
                                                              Total        Principal
<S>                                                             <C>            <C>  
  (a) Group One                                                 $0.00          $0.00

  (b) Group Two                                                 $0.00          $0.00

  (c) Series 1995-3                                             $0.00          $0.00

  (d) Class A                                                   $0.00          $0.00

      Class B                                                   $0.00          $0.00
</TABLE>

12.  Investor Monthly Servicing Fee Payable at the end of the Due Period
     -------------------------------------------------------------------
<TABLE>
<S>                                                                     <C>           
  (a) Group One                                                         $27,053,785.01

  (b) Group Two                                                          $4,250,000.00

  (c) Series 1995-3                                                        $877,193.33

  (d) Class A                                                              $833,333.33

      Class B                                                               $43,860.00
</TABLE>

13.  Class Available Subordinated Amount at the end of the Due Period
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                         As a Percentage
                                                                           of Class A
                                                             Total       Invested Amount
     <S>                                                 <C>               <C>     
     Series 1995-3 Class B                               $57,894,760.00    11.5790%
</TABLE>

14.  Total Available Credit Enhancement Amounts
     ------------------------------------------
<TABLE>
<CAPTION>
                                                      Shared Amount      Class B Amount
<S>                                                            <C>         <C>           
     Maximum Amount                                            $0.00       $31,578,960.00

     Available Amount                                          $0.00       $31,578,960.00

     Amount of Drawings on Credit Enhancement
       for this Due Period                                     $0.00                $0.00
</TABLE>




<PAGE>   4




15.  Delinquency Summary
     -------------------
<TABLE>
<CAPTION>
     End of Due Period Master Trust Receivables Outstanding   $28,518,361,329.71

                                Delinquent Amount      Percentage of Ending
     Payment Status             Ending Balance         Receivables Outstanding
     <S>                       <C>                        <C>  
     30-59 days                   $808,568,403.91            2.84%

     60-179 days                $1,201,933,922.02            4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY:
                                  ---------------------------
                                        Vice President



<PAGE>   5


                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1995-3 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of September 28, 1995 (the "Series Supplement")
by and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1995-3 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:


<TABLE>
<S>                                                                              <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                          $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                             $72,508,095.43

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                       $8,141,984.26

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                      $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                        $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall  
          is equal to                                                                        $0.00

     (b)  with respect to the Class A Cumulative Investor Charged-Off
          Amount is equal to                                                                 $0.00

     (c)  with respect to the Class A Investor Interest is equal to                          $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                    $2,473,744.03
</TABLE>



<PAGE>   6

<TABLE>
<S>                                                                                    <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $3,815,849.06

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $428,484.33

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall  
          is equal to                                                                           $0.00

     (b)  with respect to the Class B Cumulative Investor Charged-Off
          Amount is equal to                                                                    $0.00

     (c)  with respect to the Class B Investor Interest is equal to                             $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                         $132,917.42

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                             as Master Servicer

                           By:
                              -----------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer


<PAGE>   1


                                                                    EXHIBIT (J)


                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1996-1 Monthly Statement
                   Class A Certificate CUSIP #25466KAU3
                   Class B Certificate CUSIP #25466KAV1


Trust Distribution Date: January 15, 1999  Due Period Ending:  December 31, 1998

Pursuant to the Series Supplement dated as of January 18, 1996 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

1.   Payments for the benefit of Series Investors this Due Period (per $1000 of 
     ---------------------------------------------------------------------------
     Class Initial Investor Interest)
     -------------------------------
<TABLE>
<CAPTION>
     Series  1996-1                                               Total          Interest               Principal
          <S>               <C>                               <C>             <C>                     <C>         
           Class A          31 days at 5.705470000%           $4.913043611    $4.913043611            $0.000000000

           Class B          31 days at 5.835470000%           $5.024988056    $5.024988056            $0.000000000
</TABLE>

2.   Principal Receivables at the end of the Due Period
     --------------------------------------------------
<TABLE>
<S>                                                                                          <C>
  (a) Aggregate Investor Interest                                                            $18,653,104,342.64
      Seller Interest                                                                         $9,454,017,561.11

      Total Master Trust                                                                     $28,107,121,903.75


  (b) Group One Investor Interest                                                            $16,103,104,342.64

  (c) Group Two Investor Interest                                                             $2,550,000,000.00

  (d) Series 1996-1 Investor Interest                                                         $1,052,632,000.00

  (e) Class A Investor Interest                                                               $1,000,000,000.00

      Class B Investor Interest                                                                  $52,632,000.00
</TABLE>

3.   Allocation of Receivables Collected During the Due Period
     ---------------------------------------------------------
<TABLE>
<CAPTION>
                                        Finance Charge           Principal              Yield
                                         Collections            Collections          Collections

<S>                                     <C>                   <C>                               <C>  
  (a) Allocation of Collections 
      between Investor and Seller

      Aggregate Investor Allocation     $305,843,595.24       $2,723,677,162.01                 $0.00

      Seller                             $85,109,264.76         $757,936,946.60                 $0.00

  (b) Group One Allocation              $264,320,101.02       $2,353,891,445.90                 $0.00

  (c) Group Two Allocation               $41,523,494.22         $369,785,716.11                 $0.00

  (d) Series 1996-1 Allocations          $17,140,546.24         $152,644,407.37                 $0.00

  (e) Class A Allocations                $16,283,577.57         $145,012,709.24                 $0.00

      Class B Allocations                   $856,968.67           $7,631,698.13                 $0.00
</TABLE>



<PAGE>   2

4.   Information Concerning the Series Principal Funding Accounts ("SPFA")
     --------------------------------------------------------------------
<TABLE>
<CAPTION>
                                Deposits into the
                                  SPFAs This          SPFA    Deposit Deficit   Investment
                                  Due Period         Balance     Amount           Income
     <S>                            <C>             <C>           <C>               <C>  
     Series 1996-1                   $0.00           $0.00         0.00              $0.00
</TABLE>

5.   Information Concerning Amount of Controlled Liquidation Payments
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                   Total Payments
                                         Amount Paid      Deficit Amount            Through This
                                        This Due Period   This Due Period            Due Period
     <S>                                      <C>              <C>                     <C>  
     Series 1996-1                            $0.00            $0.00                   $0.00
</TABLE>

6.   Information Concerning the Series Interest Funding Accounts ("SIFA")
     -------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                             Deposits Into the
                                                               SIFAs This
                                                               Due Period          SIFA Balance
     <S>                                                      <C>                      <C>  
     Series 1996-1                                            $5,177,518.78            $0.00
</TABLE>

7.   Pool Factors
     ------------
<TABLE>
<CAPTION>
                                                                             This Due Period
<S>                                                                           <C>       
     Class A                                                                  1.00000000

     Class B                                                                  1.00000000
</TABLE>

8.   Investor Charged-Off Amount
     ---------------------------
<TABLE>
<CAPTION>
                                                                                 Cumulative
                                                                              Investor Charged-Off
                                                          This Due Period         Amount
<S>                                                         <C>                        <C>  
  (a) Group One                                             $100,357,279.92            $0.00

  (b) Group Two                                              $15,765,675.46            $0.00

  (c) Series 1996-1                                           $6,507,937.12            $0.00

  (d) Class A                                                 $6,182,562.53            $0.00

      Class B                                                   $325,374.59            $0.00
</TABLE>

9.   Investor Losses This Due Period
     -------------------------------
<TABLE>
<CAPTION>
                                                                                Per $1,000 of
                                                                               Original Invested
                                                                    Total        Principal
<S>                                                                   <C>            <C>  
  (a) Group One                                                       $0.00          $0.00

  (b) Group Two                                                       $0.00          $0.00

  (c) Series 1996-1                                                   $0.00          $0.00

  (d) Class A                                                         $0.00          $0.00

      Class B                                                         $0.00          $0.00
</TABLE>



<PAGE>   3





10.  Reimbursement of Investor Losses This Due Period
     ------------------------------------------------
<TABLE>
<CAPTION>
                                                                                  Per $1,000 of
                                                                                Original Invested
                                                                     Total        Principal
<S>                                                                    <C>            <C>  
  (a) Group One                                                        $0.00          $0.00

  (b) Group Two                                                        $0.00          $0.00

  (c) Series 1996-1                                                    $0.00          $0.00

  (d) Class A                                                          $0.00          $0.00

      Class B                                                          $0.00          $0.00
</TABLE>

11.  Aggregate Amount of Unreimbursed Investor Losses
<TABLE>
<CAPTION>
                                                                                  Per $1,000 of
                                                                                Original Invested
                                                                     Total        Principal
<S>                                                                    <C>            <C>  
  (a) Group One                                                        $0.00          $0.00

  (b) Group Two                                                        $0.00          $0.00

  (c) Series 1996-1                                                    $0.00          $0.00

  (d) Class A                                                          $0.00          $0.00

      Class B                                                          $0.00          $0.00
</TABLE>

12.  Investor Monthly Servicing Fee Payable at the end of the Due Period
     -------------------------------------------------------------------
<TABLE>
<S>                                                                           <C>           
  (a) Group One                                                               $27,053,785.01

  (b) Group Two                                                                $4,250,000.00

  (c) Series 1996-1                                                            $1,754,386.67

  (d) Class A                                                                  $1,666,666.67

      Class B                                                                     $87,720.00
</TABLE>

13.  Class Available Subordinated Amount at the end of the Due Period
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                             As a Percentage
                                                                               of Class A
                                                                 Total       Invested Amount
     <S>                                                    <C>                <C>     
     Series 1996-1 Class B                                  $105,263,200.00    10.5263%
</TABLE>

14.  Total Available Credit Enhancement Amounts
     ------------------------------------------
<TABLE>
<CAPTION>
                                                             Shared Amount  Class B Amount
<S>                                                                <C>        <C>           
     Maximum Amount                                                $0.00      $57,894,760.00

     Available Amount                                              $0.00      $57,894,760.00

     Amount of Drawings on Credit Enhancement
       for this Due Period                                         $0.00               $0.00
</TABLE>




<PAGE>   4




15.  Delinquency Summary
     -------------------
<TABLE>
<CAPTION>
     End of Due Period Master Trust Receivables Outstanding     $28,518,361,329.71

                                    Delinquent Amount     Percentage of Ending
     Payment Status                 Ending Balance        Receivables Outstanding
     <S>                         <C>                         <C>  
     30-59 days                    $808,568,403.91             2.84%

     60-179 days                 $1,201,933,922.02             4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY:
                                  ---------------------------
                                        Vice President




<PAGE>   5

                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1996-1 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of January 18, 1996 (the "Series Supplement")
by and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1996-1 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:


<TABLE>
<S>                                                                                     <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                 $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                   $145,012,709.24

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                             $16,283,577.57

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                             $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                               $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall  
          is equal to                                                                               $0.00

     (b)  with respect to the Class A Cumulative Investor Charged-Off
          Amount is equal to                                                                        $0.00

     (c)  with respect to the Class A Investor Interest is equal to                                 $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                           $4,913,043.61
</TABLE>




<PAGE>   6


<TABLE>
<S>                                                                                    <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $7,631,698.13

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $856,968.67

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                 $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                           $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                             $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                         $264,475.17

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                              as Master Servicer

                           By:
                              --------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer


<PAGE>   1

                                                                   EXHIBIT (K)





                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1996-2 Monthly Statement
                   Class A Certificate CUSIP #25466KAW9
                   Class B Certificate CUSIP #25466KAX7


Trust Distribution Date: January 15, 1999  Due Period Ending:  December 31, 1998

Pursuant to the Series Supplement dated as of January 29, 1996 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

1.   Payments for the benefit of Series Investors this Due Period (per $1000 of 
     ---------------------------------------------------------------------------
     Class Initial Investor Interest)
     -------------------------------

<TABLE>
<CAPTION>
     Series  1996-2                                                  Total         Interest             Principal
           <S>                  <C>                             <C>             <C>
           Class A              31 days at 5.755470000%         $4.956099167    $4.956099167          $0.000000000

           Class B              31 days at 5.895470000%         $5.076654722    $5.076654722          $0.000000000
</TABLE>

2.   Principal Receivables at the end of the Due Period
     --------------------------------------------------
<TABLE>
<S>                                                                                         <C>               
  (a) Aggregate Investor Interest                                                           $18,653,104,342.64
      Seller Interest                                                                        $9,454,017,561.11

      Total Master Trust                                                                    $28,107,121,903.75


  (b) Group One Investor Interest                                                           $16,103,104,342.64

  (c) Group Two Investor Interest                                                            $2,550,000,000.00

  (d) Series 1996-2 Investor Interest                                                          $947,369,000.00

  (e) Class A Investor Interest                                                                $900,000,000.00

      Class B Investor Interest                                                                 $47,369,000.00
</TABLE>

3.   Allocation of Receivables Collected During the Due Period
     ---------------------------------------------------------
<TABLE>
<CAPTION>
                                        Finance Charge            Principal              Yield
                                         Collections             Collections           Collections

<S>                                     <C>                    <C>                              <C>  
  (a) Allocation of Collections 
      between Investor and Seller

      Aggregate Investor Allocation     $305,843,595.24        $2,723,677,162.01                $0.00

      Seller                             $85,109,264.76          $757,936,946.60                $0.00

  (b) Group One Allocation              $264,320,101.02        $2,353,891,445.90                $0.00

  (c) Group Two Allocation               $41,523,494.22          $369,785,716.11                $0.00

  (d) Series 1996-2 Allocations          $15,426,608.90          $137,381,011.12                $0.00

  (e) Class A Allocations                $14,655,258.91          $130,511,786.48                $0.00

      Class B Allocations                   $771,349.99            $6,869,224.64                $0.00
</TABLE>


<PAGE>   2


4.   Information Concerning the Series Principal Funding Accounts ("SPFA")
     --------------------------------------------------------------------
<TABLE>
<CAPTION>
                                   Deposits into the
                                    SPFAs This           SPFA    Deposit Deficit   Investment
                                    Due Period         Balance      Amount           Income
     <S>                               <C>              <C>               <C>          <C>  
     Series 1996-2                     $0.00            $0.00             0.00         $0.00
</TABLE>

5.   Information Concerning Amount of Controlled Liquidation Payments
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                             Total Payments
                                     Amount Paid      Deficit Amount          Through This
                                    This Due Period   This Due Period          Due Period
     <S>                                     <C>              <C>                     <C>  
     Series 1996-2                           $0.00            $0.00                   $0.00
</TABLE>

6.   Information Concerning the Series Interest Funding Accounts ("SIFA")
     -------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                               Deposits Into the
                                                                 SIFAs This
                                                                 Due Period      SIFA Balance
     <S>                                                      <C>                       <C>  
     Series 1996-2                                            $4,700,965.31             $0.00
</TABLE>

7.   Pool Factors
     ------------
<TABLE>
<CAPTION>
                                                                              This Due Period
<S>                                                                            <C>       
     Class A                                                                   1.00000000

     Class B                                                                   1.00000000
</TABLE>

8.   Investor Charged-Off Amount
     ---------------------------
<TABLE>
<CAPTION>
                                                                               Cumulative
                                                                            Investor Charged-Off
                                                         This Due Period        Amount
<S>                                                       <C>                        <C>  
  (a) Group One                                           $100,357,279.92            $0.00

  (b) Group Two                                            $15,765,675.46            $0.00

  (c) Series 1996-2                                         $5,857,187.94            $0.00

  (d) Class A                                               $5,564,321.12            $0.00

      Class B                                                 $292,866.82            $0.00
</TABLE>

9.   Investor Losses This Due Period
     -------------------------------
<TABLE>
<CAPTION>
                                                                                Per $1,000 of
                                                                               Original Invested
                                                                    Total        Principal
<S>                                                                   <C>            <C>  
  (a) Group One                                                       $0.00          $0.00

  (b) Group Two                                                       $0.00          $0.00

  (c) Series 1996-2                                                   $0.00          $0.00

  (d) Class A                                                         $0.00          $0.00

      Class B                                                         $0.00          $0.00
</TABLE>




<PAGE>   3




10.  Reimbursement of Investor Losses This Due Period
     ------------------------------------------------
<TABLE>
<CAPTION>
                                                                                 Per $1,000 of
                                                                               Original Invested
                                                                    Total        Principal
<S>                                                                   <C>            <C>  
  (a) Group One                                                       $0.00          $0.00

  (b) Group Two                                                       $0.00          $0.00

  (c) Series 1996-2                                                   $0.00          $0.00

  (d) Class A                                                         $0.00          $0.00

      Class B                                                         $0.00          $0.00
</TABLE>

11.  Aggregate Amount of Unreimbursed Investor Losses
     ------------------------------------------------
<TABLE>
<CAPTION>
                                                                                 Per $1,000 of
                                                                               Original Invested
                                                                    Total        Principal
<S>                                                                   <C>            <C>  
  (a) Group One                                                       $0.00          $0.00

  (b) Group Two                                                       $0.00          $0.00

  (c) Series 1996-2                                                   $0.00          $0.00

  (d) Class A                                                         $0.00          $0.00

      Class B                                                         $0.00          $0.00
</TABLE>

12.  Investor Monthly Servicing Fee Payable at the end of the Due Period
     -------------------------------------------------------------------
<TABLE>
<S>                                                                          <C>           
  (a) Group One                                                              $27,053,785.01

  (b) Group Two                                                               $4,250,000.00

  (c) Series 1996-2                                                           $1,578,948.33

  (d) Class A                                                                 $1,500,000.00

      Class B                                                                    $78,948.33
</TABLE>

13.  Class Available Subordinated Amount at the end of the Due Period
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                            As a Percentage
                                                                              of Class A
                                                                Total       Invested Amount
     <S>                                                   <C>                <C>     
     Series 1996-2 Class B                                 $104,210,590.00    11.5790%
</TABLE>

14.  Total Available Credit Enhancement Amounts
     ------------------------------------------
<TABLE>
<CAPTION>
                                                          Shared Amount  Class B Amount
<S>                                                             <C>         <C>           
     Maximum Amount                                             $0.00       $56,842,140.00

     Available Amount                                           $0.00       $56,842,140.00

     Amount of Drawings on Credit Enhancement
       for this Due Period                                      $0.00                $0.00
</TABLE>


<PAGE>   4






15.  Delinquency Summary
     -------------------
<TABLE>
<CAPTION>
     End of Due Period Master Trust Receivables Outstanding     $28,518,361,329.71

                                    Delinquent Amount       Percentage of Ending
     Payment Status                 Ending Balance          Receivables Outstanding
     <S>                            <C>                          <C>  
     30-59 days                       $808,568,403.91              2.84%

     60-179 days                    $1,201,933,922.02              4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY:
                                 -----------------------------
                                        Vice President



<PAGE>   5


                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1996-2 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of January 29, 1996 (the "Series Supplement")
by and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1996-2 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:


<TABLE>
<S>                                                                             <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                         $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                           $130,511,786.48

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                     $14,655,258.91

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                     $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                       $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall
          is equal to                                                                       $0.00

     (b)  with respect to the Class A Cumulative Investor Charged-Off
          Amount is equal to                                                                $0.00

     (c)  with respect to the Class A Investor Interest is equal to                         $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                   $4,460,489.25
</TABLE>




<PAGE>   6

<TABLE>
<S>                                                                                    <C>  
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $6,869,224.64

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $771,349.99

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall
          is equal to                                                                           $0.00

     (b)  with respect to the Class B Cumulative Investor Charged-Off
          Amount is equal to                                                                    $0.00

     (c)  with respect to the Class B Investor Interest is equal to$0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                         $240,476.06

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                             as Master Servicer

                           By:
                              -------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer



<PAGE>   1

                                                                    EXHIBIT (L)




                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1996-3 Monthly Statement
                   Class A Certificate CUSIP #25466KAY5
                   Class B Certificate CUSIP #25466KAZ2


Trust Distribution Date: January 15, 1999  Due Period Ending:  December 31, 1998

Pursuant to the Series Supplement dated as of February 21, 1996 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

1.   Payments for the benefit of Series Investors this Due Period (per $1000 of 
     ---------------------------------------------------------------------------
     Class Initial Investor Interest)
     -------------------------------
<TABLE>
<CAPTION>
     Series  1996-3                                          Total           Interest                 Principal
           <S>          <C>                             <C>                <C>                      <C>         
           Class A      30 days at 6.050000000%         $5.041666667       $5.041666667             $0.000000000

           Class B      30 days at 6.250000000%         $5.208333333       $5.208333333             $0.000000000
</TABLE>

2.   Principal Receivables at the end of the Due Period
     --------------------------------------------------
<TABLE>
<S>                                                                                      <C>               
  (a) Aggregate Investor Interest                                                        $18,653,104,342.64
      Seller Interest                                                                     $9,454,017,561.11

      Total Master Trust                                                                 $28,107,121,903.75


  (b) Group One Investor Interest                                                        $16,103,104,342.64

  (c) Group Two Investor Interest                                                         $2,550,000,000.00

  (d) Series 1996-3 Investor Interest                                                       $631,579,000.00

  (e) Class A Investor Interest                                                             $600,000,000.00

      Class B Investor Interest                                                              $31,579,000.00
</TABLE>

3.   Allocation of Receivables Collected During the Due Period
     ---------------------------------------------------------
<TABLE>
<CAPTION>
                                       Finance Charge           Principal               Yield
                                        Collections            Collections            Collections

<S>                                      <C>                <C>                                   <C>  
  (a) Allocation of Collections between
      Investor and Seller

      Aggregate Investor Allocation      $305,843,595.24    $2,723,677,162.01                     $0.00

      Seller                              $85,109,264.76      $757,936,946.60                     $0.00

  (b) Group One Allocation               $264,320,101.02    $2,353,891,445.90                     $0.00

  (c) Group Two Allocation                $41,523,494.22      $369,785,716.11                     $0.00

  (d) Series 1996-3 Allocations           $10,284,405.95       $91,587,340.74                     $0.00

  (e) Class A Allocations                  $9,770,302.93       $87,009,018.19                     $0.00

      Class B Allocations                    $514,103.02        $4,578,322.55                     $0.00
</TABLE>


<PAGE>   2


4.   Information Concerning the Series Principal Funding Accounts ("SPFA")
     --------------------------------------------------------------------
<TABLE>
<CAPTION>
                                 Deposits into the
                                  SPFAs This                SPFA    Deposit Deficit   Investment
                                  Due Period               Balance    Amount           Income
     <S>                             <C>                   <C>             <C>             <C>  
     Series 1996-3                   $0.00                 $0.00           0.00            $0.00
</TABLE>

5.   Information Concerning Amount of Controlled Liquidation Payments
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                     Total Payments
                                  Amount Paid      Deficit Amount     Through This
                                 This Due Period   This Due Period     Due Period
     <S>                                   <C>              <C>               <C>  
     Series 1996-3                         $0.00            $0.00             $0.00
</TABLE>

6.   Information Concerning the Series Interest Funding Accounts ("SIFA")
     -------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                           Deposits Into the
                                                             SIFAs This
                                                             Due Period      SIFA Balance
     <S>                                                    <C>                 <C>           
     Series 1996-3                                           $3,189,473.96       $15,947,369.80
</TABLE>

7.   Pool Factors
     ------------
<TABLE>
<CAPTION>
                                                                            This Due Period
<S>                                                                          <C>       
     Class A                                                                 1.00000000

     Class B                                                                 1.00000000
</TABLE>

8.   Investor Charged-Off Amount
     ---------------------------
<TABLE>
<CAPTION>
                                                                          Cumulative
                                                                        Investor Charged-Off
                                                    This Due Period        Amount
<S>                                                   <C>                        <C>  
  (a) Group One                                       $100,357,279.92            $0.00

  (b) Group Two                                        $15,765,675.46            $0.00

  (c) Series 1996-3                                     $3,904,791.96            $0.00

  (d) Class A                                           $3,709,596.89            $0.00

      Class B                                             $195,195.07            $0.00
</TABLE>

9.   Investor Losses This Due Period
     -------------------------------
<TABLE>
<CAPTION>
                                                                         Per $1,000 of
                                                                        Original Invested
                                                             Total        Principal
<S>                                                               <C>            <C>  
  (a) Group One                                                   $0.00          $0.00

  (b) Group Two                                                   $0.00          $0.00

  (c) Series 1996-3                                               $0.00          $0.00

  (d) Class A                                                     $0.00          $0.00

      Class B                                                     $0.00          $0.00
</TABLE>


<PAGE>   3








10.  Reimbursement of Investor Losses This Due Period
     ------------------------------------------------
<TABLE>
<CAPTION>
                                                                            Per $1,000 of
                                                                          Original Invested
                                                               Total        Principal
<S>                                                              <C>            <C>  
  (a) Group One                                                  $0.00          $0.00

  (b) Group Two                                                  $0.00          $0.00

  (c) Series 1996-3                                              $0.00          $0.00

  (d) Class A                                                    $0.00          $0.00

      Class B                                                    $0.00          $0.00
</TABLE>

11.  Aggregate Amount of Unreimbursed Investor Losses
     ------------------------------------------------
<TABLE>
<CAPTION>
                                                                           Per $1,000 of
                                                                         Original Invested
                                                              Total        Principal
<S>                                                             <C>            <C>  
  (a) Group One                                                 $0.00          $0.00

  (b) Group Two                                                 $0.00          $0.00

  (c) Series 1996-3                                             $0.00          $0.00

  (d) Class A                                                   $0.00          $0.00

      Class B                                                   $0.00          $0.00
</TABLE>

12.  Investor Monthly Servicing Fee Payable at the end of the Due Period
     -------------------------------------------------------------------
<TABLE>
<S>                                                                    <C>           
  (a) Group One                                                        $27,053,785.01

  (b) Group Two                                                         $4,250,000.00

  (c) Series 1996-3                                                     $1,052,631.67

  (d) Class A                                                           $1,000,000.00

      Class B                                                              $52,631.67
</TABLE>

13.  Class Available Subordinated Amount at the end of the Due Period
     ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                        As a Percentage
                                                                          of Class A
                                                        Total           Invested Amount
     <S>                                                <C>                <C>    
     Series 1996-3 Class B                              $37,894,740.00     6.3158%
</TABLE>

14.  Total Available Credit Enhancement Amounts
     ------------------------------------------
<TABLE>
<CAPTION>
                                                      Shared Amount  Class B Amount
<S>                                                         <C>           <C>           
     Maximum Amount                                         $0.00         $18,947,370.00

     Available Amount                                       $0.00         $18,947,370.00

     Amount of Drawings on Credit Enhancement
       for this Due Period                                  $0.00                  $0.00
</TABLE>




<PAGE>   4




15.  Delinquency Summary
     -------------------
<TABLE>
<CAPTION>
     End of Due Period Master Trust Receivables Outstanding      $28,518,361,329.71

                                 Delinquent Amount        Percentage of Ending
     Payment Status              Ending Balance           Receivables Outstanding
     <S>                        <C>                               <C>  
     30-59 days                    $808,568,403.91                2.84%

     60-179 days                 $1,201,933,922.02                4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY:
                                  ----------------------------
                                        Vice President



<PAGE>   5



                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1996-3 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of February 21, 1996 (the "Series Supplement")
by and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1996-3 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:


<TABLE>
<S>                                                                                    <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                 $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                    $87,009,018.19

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                              $9,770,302.93

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                             $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                               $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall
          is equal to                                                                               $0.00

     (b)  with respect to the Class A Cumulative Investor Charged-Off
          Amount is equal to                                                                        $0.00

     (c)  with respect to the Class A Investor Interest is equal to                                 $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                                   $0.00
</TABLE>




<PAGE>   6

<TABLE>
<S>                                                                             <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                         $4,578,322.55

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                    $514,103.02

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                 $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                   $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall
          is equal to                                                                   $0.00

     (b)  with respect to the Class B Cumulative Investor Charged-Off
          Amount is equal to                                                            $0.00

     (c)  with respect to the Class B Investor Interest is equal to                     $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                       $0.00

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                                as Master Servicer

                           By:
                              ------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer




<PAGE>   1
                                                                     EXHIBIT (M)

                         MONTHLY CERTIFICATEHOLDERS' STATEMENT
                             Discover Card Master Trust I
                            Series 1996-4 Monthly Statement
                        Class A Certificate CUSIP #25466KBA6
                        Class B Certificate CUSIP #25466KBB4


Trust Distribution Date: January 15, 1999 Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of April 30, 1996 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

<TABLE>
<CAPTION>
1.    Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
      -----------------------------------------------------------------------------------------------------------

      Series  1996-4                                                Total          Interest     Principal
          <S>                                                    <C>             <C>           <C>
          Class A      31 days at 5.910470000%                   $5.089571389    $5.089571389  $0.000000000

          Class B      31 days at 6.085470000%                   $5.240265833    $5.240265833  $0.000000000
</TABLE>

<TABLE>
<CAPTION>
2.    Principal Receivables at the end of the Due Period
      --------------------------------------------------
  <S>                                                   <C>
  (a) Aggregate Investor Interest                        $18,653,104,342.64
      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75


  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1996-4 Investor Interest                     $1,052,632,000.00

  (e) Class A Investor Interest                           $1,000,000,000.00

      Class B Investor Interest                              $52,632,000.00
</TABLE>

<TABLE>
<CAPTION>
3.    Allocation of Receivables Collected During the Due Period
      ---------------------------------------------------------

                                                                Finance Charge        Principal         Yield
                                                                 Collections         Collections     Collections
  <S>                                                          <C>                <C>                          <C>
  (a) Allocation of Collections between Investor and Seller

      Aggregate Investor Allocation                            $305,843,595.24    $2,723,677,162.01            $0.00

      Seller                                                    $85,109,264.76      $757,936,946.60            $0.00

  (b) Group One Allocation                                     $264,320,101.02    $2,353,891,445.90            $0.00

  (c) Group Two Allocation                                      $41,523,494.22      $369,785,716.11            $0.00

  (d) Series 1996-4 Allocations                                 $17,140,546.24      $152,644,407.37            $0.00

  (e) Class A Allocations                                       $16,283,577.57      $145,012,709.24            $0.00

      Class B Allocations                                          $856,968.67        $7,631,698.13            $0.00
</TABLE>

<PAGE>   2

<TABLE>
<CAPTION>
4.    Information Concerning the Series Principal Funding Accounts ("SPFA")
      ---------------------------------------------------------------------
                         Deposits into the
                           SPFAs This        SPFA    Deposit Deficit    Investment
                           Due Period       Balance      Amount           Income
      <S>                       <C>         <C>               <C>           <C>
      Series 1996-4             $0.00       $0.00             0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
5.    Information Concerning Amount of Controlled Liquidation Payments
      ----------------------------------------------------------------
                                                                    Total Payments
                               Amount Paid       Deficit Amount     Through This
                              This Due Period    This Due Period     Due Period
      <S>                      <C>                          <C>                  <C>
      Series 1996-4            $0.00                        $0.00                $0.00
</TABLE>

<TABLE>
<CAPTION>
6.    Information Concerning the Series Interest Funding Accounts ("SIFA")
      --------------------------------------------------------------------
                                             Deposits Into the
                                               SIFAs This
                                               Due Period        SIFA Balance
      <S>                                      <C>                        <C>
      Series 1996-4                            $5,365,377.06              $0.00
</TABLE>

<TABLE>
<CAPTION>
7.    Pool Factors
      ------------
                                                                 This Due Period
      <S>                                                             <C>
      Class A                                                         1.00000000

      Class B                                                         1.00000000
</TABLE>

<TABLE>
<CAPTION>
8.    Investor Charged-Off Amount
      ---------------------------
                                                               Cumulative
                                                            Investor Charged-Off
                                     This Due Period             Amount
  <S>                                  <C>                            <C>
  (a) Group One                        $100,357,279.92                $0.00

  (b) Group Two                         $15,765,675.46                $0.00

  (c) Series 1996-4                      $6,507,937.12                $0.00

  (d) Class A                            $6,182,562.53                $0.00

      Class B                              $325,374.59                $0.00
</TABLE>

<TABLE>
<CAPTION>
9.    Investor Losses This Due Period
      -------------------------------                         Per $1,000 of
                                                            Original Invested
                                               Total           Principal
  <S>                                             <C>              <C>
  (a) Group One                                   $0.00            $0.00

  (b) Group Two                                   $0.00            $0.00

  (c) Series 1996-4                               $0.00            $0.00

  (d) Class A                                     $0.00            $0.00

      Class B                                     $0.00            $0.00
</TABLE>

<PAGE>   3
<TABLE>
<CAPTION>
10.    Reimbursement of Investor Losses This Due Period
       ------------------------------------------------                  Per $1,000 of
                                                                       Original Invested
                                                   Total                  Principal
    <S>                                               <C>                      <C>
   (a) Group One                                      $0.00                    $0.00

   (b) Group Two                                      $0.00                    $0.00

   (c) Series 1996-4                                  $0.00                    $0.00

   (d) Class A                                        $0.00                    $0.00

       Class B                                        $0.00                    $0.00
</TABLE>

<TABLE>
<CAPTION>
11.    Aggregate Amount of Unreimbursed Investor Losses                  Per $1,000 of
       ------------------------------------------------                Original Invested
                                                   Total                  Principal
   <S>                                                <C>                      <C>
   (a) Group One                                      $0.00                    $0.00

   (b) Group Two                                      $0.00                    $0.00

   (c) Series 1996-4                                  $0.00                    $0.00

   (d) Class A                                        $0.00                    $0.00

       Class B                                        $0.00                    $0.00
</TABLE>

<TABLE>
<CAPTION>
12.    Investor Monthly Servicing Fee Payable at the end of the Due Period
       -------------------------------------------------------------------
   <S>                                                      <C>
   (a) Group One                                            $27,053,785.01

   (b) Group Two                                             $4,250,000.00

   (c) Series 1996-4                                         $1,754,386.67

   (d) Class A                                               $1,666,666.67

       Class B                                                  $87,720.00
</TABLE>

<TABLE>
<CAPTION>
13.    Class Available Subordinated Amount at the end of the Due Period
       ----------------------------------------------------------------
                                                                As a Percentage
                                                                 of Class A
                                                    Total       Invested Amount
     <S>                                       <C>                <C>
     Series 1996-4 Class B                     $115,789,520.00    11.5790%
</TABLE>

<TABLE>
<CAPTION>
14.    Total Available Credit Enhancement Amounts
       ------------------------------------------
                                                    Shared Amount           Class B Amount
       <S>                                                   <C>               <C>
       Maximum Amount                                        $0.00             $63,157,920.00

       Available Amount                                      $0.00             $63,157,920.00

       Amount of Drawings on Credit Enhancement
         for this Due Period                                 $0.00                      $0.00
</TABLE>

<PAGE>   4

<TABLE>
<CAPTION>
15.    Delinquency Summary
       -------------------

       End of Due Period Master Trust Receivables Outstanding         $28,518,361,329.71

                                   Delinquent Amount          Percentage of Ending
       Payment Status              Ending Balance             Receivables Outstanding
       <S>                          <C>                               <C>
       30-59 days                     $808,568,403.91                 2.84%

       60-179 days                  $1,201,933,922.02                 4.21%
</TABLE>

                                            U.S. BANK NATIONAL ASSOCIATION
                                            as Trustee


                                        BY:
                                            ------------------------------
                                                   Vice President

<PAGE>   5

                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1996-4 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of April 30, 1996 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1996-4 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
<S>                                                                                    <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                 $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                   $145,012,709.24

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                             $16,283,577.57

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                             $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                               $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                     $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                               $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                                 $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                           $5,089,571.39
</TABLE>

<PAGE>   6

<TABLE>
<S>                                                                                        <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                     $7,631,698.13

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                                $856,968.67

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                             $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                               $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                     $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                               $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                                 $0.00

 13. The sum of all amounts payable to the Class B Certificateholders
      on the current Distribution Date is equal to                                            $275,805.67

 14. Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                                as Master Servicer

                           By:
                              -------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer


<PAGE>   1

                                                                    EXHIBIT (N)

                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1997-1 Monthly Statement
                   Class A Certificate CUSIP #25466KBD0
                   Class B Certificate CUSIP #25466KBE8


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of August 26, 1997 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

<TABLE>
<CAPTION>
1.    Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
      -----------------------------------------------------------------------------------------------------------

      Series  1997-1                                                  Total        Interest       Principal
            <S>              <C>                                 <C>             <C>             <C>
            Class A          31 days at 5.625470000%             $4.844154722    $4.844154722    $0.000000000

            Class B          31 days at 5.805470000%             $4.999154722    $4.999154722    $0.000000000
</TABLE>

<TABLE>
2.    Principal Receivables at the end of the Due Period
      --------------------------------------------------
  <S>                                                    <C>
  (a) Aggregate Investor Interest                        $18,653,104,342.64
      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75


  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1997-1 Investor Interest                       $789,474,000.00

  (e) Class A Investor Interest                             $750,000,000.00

      Class B Investor Interest                              $39,474,000.00
</TABLE>

<TABLE>
<CAPTION>
3.    Allocation of Receivables Collected During the Due Period
      ---------------------------------------------------------

                                                                Finance Charge         Principal        Yield
                                                                 Collections          Collections     Collections
  <S>                                                          <C>                 <C>                           <C>
  (a) Allocation of Collections between Investor and Seller

      Aggregate Investor Allocation                            $305,843,595.24     $2,723,677,162.01             $0.00

      Seller                                                    $85,109,264.76       $757,936,946.60             $0.00

  (b) Group One Allocation                                     $264,320,101.02     $2,353,891,445.90             $0.00

  (c) Group Two Allocation                                      $41,523,494.22       $369,785,716.11             $0.00

  (d) Series 1997-1 Allocations                                 $12,855,311.94       $114,482,435.11             $0.00

  (e) Class A Allocations                                       $12,212,585.44       $108,758,661.52             $0.00

      Class B Allocations                                          $642,726.50         $5,723,773.59             $0.00
</TABLE>

<PAGE>   2

<TABLE>
<CAPTION>
4.    Information Concerning the Series Principal Funding Accounts ("SPFA")
      ---------------------------------------------------------------------
                         Deposits into the
                          SPFAs This          SPFA   Deposit Deficit    Investment
                          Due Period         Balance     Amount           Income
      <S>                      <C>           <C>              <C>            <C>
      Series 1997-1            $0.00         $0.00            0.00           $0.00
</TABLE>

<TABLE>
<CAPTION>
5.    Information Concerning Amount of Controlled Liquidation Payments
      ----------------------------------------------------------------
                                                                    Total Payments
                               Amount Paid       Deficit Amount     Through This
                             This Due Period     This Due Period     Due Period
      <S>                              <C>                  <C>               <C>
      Series 1997-1                    $0.00                $0.00             $0.00
</TABLE>

<TABLE>
<CAPTION>
6.    Information Concerning the Series Interest Funding Accounts ("SIFA")
      --------------------------------------------------------------------
                                             Deposits Into the
                                                SIFAs This
                                                Due Period       SIFA Balance
      <S>                                       <C>                       <C>
      Series 1997-1                             $3,830,452.67             $0.00
</TABLE>

<TABLE>
<CAPTION>
7.    Pool Factors
      ------------
                                                                                  This Due Period
      <S>                                                                              <C>
      Class A                                                                          1.00000000

      Class B                                                                          1.00000000
</TABLE>

<TABLE>
<CAPTION>
8.    Investor Charged-Off Amount
      ---------------------------                                               Cumulative
                                                                           Investor Charged-Off
                                                         This Due Period          Amount
  <S>                                                      <C>                         <C>
  (a) Group One                                            $100,357,279.92             $0.00

  (b) Group Two                                             $15,765,675.46             $0.00

  (c) Series 1997-1                                          $4,880,915.73             $0.00

  (d) Class A                                                $4,636,884.79             $0.00

      Class B                                                  $244,030.94             $0.00
</TABLE>

<TABLE>
<CAPTION>
9.    Investor Losses This Due Period
      -------------------------------                                           Per $1,000 of
                                                                              Original Invested
                                                                  Total           Principal
  <S>                                                                <C>              <C>
  (a) Group One                                                      $0.00            $0.00

  (b) Group Two                                                      $0.00            $0.00

  (c) Series 1997-1                                                  $0.00            $0.00

  (d) Class A                                                        $0.00            $0.00

      Class B                                                        $0.00            $0.00
</TABLE>

<PAGE>   3
<TABLE>
<CAPTION>
10.   Reimbursement of Investor Losses This Due Period
      ------------------------------------------------                 Per $1,000 of
                                                                     Original Invested
                                                  Total                  Principal
  <S>                                                <C>                      <C>
  (a) Group One                                      $0.00                    $0.00

  (b) Group Two                                      $0.00                    $0.00

  (c) Series 1997-1                                  $0.00                    $0.00

  (d) Class A                                        $0.00                    $0.00

      Class B                                        $0.00                    $0.00
</TABLE>

<TABLE>
<CAPTION>
11.   Aggregate Amount of Unreimbursed Investor Losses
      ------------------------------------------------                 Per $1,000 of
                                                                     Original Invested
                                                 Total                   Principal
  <S>                                               <C>                       <C>
  (a) Group One                                     $0.00                     $0.00

  (b) Group Two                                     $0.00                     $0.00

  (c) Series 1997-1                                 $0.00                     $0.00

  (d) Class A                                       $0.00                     $0.00

      Class B                                       $0.00                     $0.00
</TABLE>

<TABLE>
<CAPTION>
12.   Investor Monthly Servicing Fee Payable at the end of the Due Period
      -------------------------------------------------------------------
  <S>                                                      <C>
  (a) Group One                                            $27,053,785.01

  (b) Group Two                                             $4,250,000.00

  (c) Series 1997-1                                         $1,315,790.00

  (d) Class A                                               $1,250,000.00

      Class B                                                  $65,790.00
</TABLE>

<TABLE>
<CAPTION>
13.   Class Available Subordinated Amount at the end of the Due Period
      ----------------------------------------------------------------
                                                             As a Percentage
                                                               of Class A
                                                 Total       Invested Amount
      <S>                                    <C>               <C>
      Series 1997-1 Class B                  $98,684,250.00    13.1579%
</TABLE>

<TABLE>
<CAPTION>
14.   Total Available Credit Enhancement Amounts
      ------------------------------------------
                                                 Shared Amount          Class B Amount
      <S>                                                <C>               <C>
      Maximum Amount                                     $0.00             $59,210,550.00

      Available Amount                                   $0.00             $59,210,550.00

      Amount of Drawings on Credit Enhancement
        for this Due Period                              $0.00                      $0.00
</TABLE>

<PAGE>   4

<TABLE>
<CAPTION>
15.   Delinquency Summary

      End of Due Period Master Trust Receivables Outstanding          $28,518,361,329.71

                          Delinquent Amount  Percentage of Ending
      Payment Status      Ending Balance     Receivables Outstanding
      <S>                 <C>                        <C>
      30-59 days            $808,568,403.91          2.84%

      60-179 days         $1,201,933,922.02          4.21%
</TABLE>

                                            U.S. BANK NATIONAL ASSOCIATION
                                            as Trustee


                                        BY:
                                            ----------------------------
                                                  Vice President

<PAGE>   5

                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1997-1 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of August 26, 1997 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1997-1 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
<S>                                                                                        <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                     $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                       $108,758,661.52

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                                 $12,212,585.44

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                                 $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                                   $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                         $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                                   $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                                     $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                               $3,633,116.04
</TABLE>

<PAGE>   6

<TABLE>
<S>                                                                                            <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                         $5,723,773.59

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                                    $642,726.50

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                                 $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                                   $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                         $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                                   $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                                     $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                                 $197,336.63

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                                as Master Servicer

                           By:
                              -----------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer


<PAGE>   1

                                                                     EXHIBIT (O)

                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1997-2 Monthly Statement
                   Class A Certificate CUSIP #25466KBF5
                   Class B Certificate CUSIP #25466KBG3


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of October 15, 1997 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

<TABLE>
<CAPTION>
1.    Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
      -----------------------------------------------------------------------------------------------------------
      Series  1997-2                                                  Total        Interest       Principal
            <S>                                                  <C>             <C>             <C>
            Class A      30 days at 6.792000000%                 $5.660000000    $5.660000000    $0.000000000

            Class B      31 days at 5.935470000%                 $5.111099167    $5.111099167    $0.000000000
</TABLE>

<TABLE>
<CAPTION>
2.    Principal Receivables at the end of the Due Period
      --------------------------------------------------
  <S>                                                    <C>
  (a) Aggregate Investor Interest                        $18,653,104,342.64
      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75


  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1997-2 Investor Interest                       $526,316,000.00

  (e) Class A Investor Interest                             $500,000,000.00

      Class B Investor Interest                              $26,316,000.00
</TABLE>

<TABLE>
<CAPTION>
3.    Allocation of Receivables Collected During the Due Period
      ---------------------------------------------------------
                                                                Finance Charge      Principal        Yield
                                                                 Collections       Collections     Collections
  <S>                                                          <C>              <C>                          <C>
  (a) Allocation of Collections between Investor and Seller

      Aggregate Investor Allocation                            $305,843,595.24  $2,723,677,162.01            $0.00

      Seller                                                    $85,109,264.76    $757,936,946.60            $0.00

  (b) Group One Allocation                                     $264,320,101.02  $2,353,891,445.90            $0.00

  (c) Group Two Allocation                                      $41,523,494.22    $369,785,716.11            $0.00

  (d) Series 1997-2 Allocations                                  $8,570,468.59     $76,323,944.49            $0.00

  (e) Class A Allocations                                        $8,141,984.26     $72,508,095.43            $0.00

      Class B Allocations                                          $428,484.33      $3,815,849.06            $0.00
</TABLE>

<PAGE>   2

<TABLE>
<CAPTION>
4.    Information Concerning the Series Principal Funding Accounts ("SPFA")
      ---------------------------------------------------------------------
                         Deposits into the
                          SPFAs This         SPFA    Deposit Deficit    Investment
                          Due Period        Balance      Amount           Income
      <S>                      <C>          <C>               <C>            <C>
      Series 1997-2            $0.00        $0.00             0.00           $0.00
</TABLE>

<TABLE>
<CAPTION>
5.    Information Concerning Amount of Controlled Liquidation Payments
      ----------------------------------------------------------------
                                                                                       Total Payments
                    Amount Paid       PSA Index      Monthly        Deficit Amount      Through This
                  This Due Period       Rate*      Amortization Rate*This Due Period     Due Period
      <S>                    <C>        <C>              <C>                     <C>             <C>
      Class A                $0.00      N/A              N/A                     $0.00           $0.00

      Class B                $0.00      N/A              N/A                     $0.00           $0.00

      *Rates are only applicable during the Class A Controlled Liquidation Period.
</TABLE>

<TABLE>
<CAPTION>
6.    Information Concerning the Series Interest Funding Accounts ("SIFA")
      --------------------------------------------------------------------
                                             Deposits Into the
                                               SIFAs This
                                               Due Period        SIFA Balance
      <S>                                      <C>                          <C>
      Series 1997-2                            $2,964,503.69                $0.00
</TABLE>

<TABLE>
<CAPTION>
7.    Pool Factors
      ------------
                                                                  This Due Period
      <S>                                                              <C>
      Class A                                                          1.00000000

      Class B                                                          1.00000000
</TABLE>

<TABLE>
<CAPTION>
8.    Investor Charged-Off Amount
      ---------------------------                                Cumulative
                                                             Investor Charged-Off
                                            This Due Period        Amount
  <S>                                         <C>                       <C>
  (a) Group One                               $100,357,279.92           $0.00

  (b) Group Two                                $15,765,675.46           $0.00

  (c) Series 1997-2                             $3,254,042.78           $0.00

  (d) Class A                                   $3,091,355.48           $0.00

      Class B                                     $162,687.30           $0.00
</TABLE>

<TABLE>
<CAPTION>
9.    Investor Losses This Due Period
      -------------------------------                            Per $1,000 of
                                                               Original Invested
                                                     Total         Principal
  <S>                                                   <C>            <C>
  (a) Group One                                         $0.00          $0.00

  (b) Group Two                                         $0.00          $0.00

  (c) Series 1997-2                                     $0.00          $0.00

  (d) Class A                                           $0.00          $0.00

      Class B                                           $0.00          $0.00
</TABLE>

<PAGE>   3

<TABLE>
<CAPTION>
10.   Reimbursement of Investor Losses This Due Period        Per $1,000 of
      ------------------------------------------------      Original Invested
                                                  Total         Principal
  <S>                                                <C>             <C>
  (a) Group One                                      $0.00           $0.00

  (b) Group Two                                      $0.00           $0.00

  (c) Series 1997-2                                  $0.00           $0.00

  (d) Class A                                        $0.00           $0.00

      Class B                                        $0.00           $0.00
</TABLE>

<TABLE>
<CAPTION>
11.   Aggregate Amount of Unreimbursed Investor Losses        Per $1,000 of
      ------------------------------------------------      Original Invested
                                                 Total         Principal
  <S>                                               <C>             <C>
  (a) Group One                                     $0.00           $0.00

  (b) Group Two                                     $0.00           $0.00

  (c) Series 1997-2                                 $0.00           $0.00

  (d) Class A                                       $0.00           $0.00

      Class B                                       $0.00           $0.00
</TABLE>

<TABLE>
<CAPTION>
12.   Investor Monthly Servicing Fee Payable at the end of the Due Period
      -------------------------------------------------------------------
  <S>                                                      <C>
  (a) Group One                                            $27,053,785.01

  (b) Group Two                                             $4,250,000.00

  (c) Series 1997-2                                           $877,193.33

  (d) Class A                                                 $833,333.33

      Class B                                                  $43,860.00
</TABLE>

<TABLE>
<CAPTION>
13.   Class Available Subordinated Amount at the end of the Due Period
      ----------------------------------------------------------------
                                                             As a Percentage
                                                               of Class A
                                                 Total       Invested Amount
      <S>                                    <C>                 <C>
      Series 1997-2 Class B                  $47,368,440.00      9.4737%
</TABLE>

<TABLE>
<CAPTION>
14.   Total Available Credit Enhancement Amounts
      ------------------------------------------
                                                 Shared Amount      Class B Amount
      <S>                                                 <C>          <C>
      Maximum Amount                                      $0.00        $21,052,640.00

      Available Amount                                    $0.00        $21,052,640.00

      Amount of Drawings on Credit Enhancement
        for this Due Period                               $0.00                 $0.00
</TABLE>

<PAGE>   4

<TABLE>
<CAPTION>
15.   Delinquency Summary
      -------------------

      End of Due Period Master Trust Receivables Outstanding          $28,518,361,329.71

                          Delinquent Amount  Percentage of Ending
      Payment Status      Ending Balance     Receivables Outstanding
      <S>                 <C>                        <C>
      30-59 days            $808,568,403.91          2.84%

      60-179 days         $1,201,933,922.02          4.21%
</TABLE>

                                            U.S. BANK NATIONAL ASSOCIATION
                                            as Trustee


                                        BY:
                                            ----------------------------
                                                  Vice President
<PAGE>   5

                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1997-2 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of October 15, 1997 (the "Series Supplement")
by and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1997-2 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
<S>                                                                                    <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                 $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                    $72,508,095.43

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                              $8,141,984.26

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                             $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                               $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                     $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                               $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                                 $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                           $2,830,000.00
</TABLE>

<PAGE>   6

<TABLE>
<S>                                                                                    <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $3,815,849.06

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $428,484.33

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                 $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                           $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                             $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                         $134,503.69

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                                as Master Servicer

                           By:
                              ------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer


<PAGE>   1

                                                                     EXHIBIT (P)

                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1997-3 Monthly Statement
                   Class A Certificate CUSIP #25466KBH1
                   Class B Certificate CUSIP #25466KBJ7


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of October 23, 1997 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

<TABLE>
<CAPTION>
1.    Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
      -----------------------------------------------------------------------------------------------------------

      Series  1997-3                                                  Total        Interest       Principal
            <S>                                                  <C>             <C>             <C>
            Class A      31 days at 5.665470000%                 $4.878599167    $4.878599167    $0.000000000

            Class B      31 days at 5.845470000%                 $5.033599167    $5.033599167    $0.000000000
</TABLE>

<TABLE>
<CAPTION>
2.    Principal Receivables at the end of the Due Period
      --------------------------------------------------
  <S>                                                    <C>
  (a) Aggregate Investor Interest                        $18,653,104,342.64

      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75


  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1997-3 Investor Interest                       $684,211,000.00

  (e) Class A Investor Interest                             $650,000,000.00

      Class B Investor Interest                              $34,211,000.00
</TABLE>

<TABLE>
<CAPTION>
3.    Allocation of Receivables Collected During the Due Period
      ---------------------------------------------------------

                                                                Finance Charge         Principal        Yield
                                                                 Collections          Collections     Collections
      <S>                                                      <C>                 <C>                          <C>
  (a) Allocation of Collections between Investor and Seller

      Aggregate Investor Allocation.                           $305,843,595.24     $2,723,677,162.01            $0.00

      Seller:                                                   $85,109,264.76       $757,936,946.60            $0.00

  (b) Group One Allocation                                     $264,320,101.02     $2,353,891,445.90            $0.00

  (c) Group Two Allocation                                      $41,523,494.22       $369,785,716.11            $0.00

  (d) Series 1997-3 Allocations                                 $11,141,374.61        $99,219,038.86            $0.00

  (e) Class A Allocations                                       $10,584,266.78        $94,257,738.76            $0.00

      Class B Allocations                                          $557,107.83         $4,961,300.10            $0.00
</TABLE>

<PAGE>   2

<TABLE>
<CAPTION>
4.    Information Concerning the Series Principal Funding Accounts ("SPFA")
      ---------------------------------------------------------------------
                         Deposits into the
                          SPFAs This         SPFA    Deposit Deficit    Investment
                          Due Period        Balance      Amount           Income
      <S>                      <C>            <C>            <C>             <C>
      Series 1997-3            $0.00          $0.00          0.00            $0.00
</TABLE>

<TABLE>
<CAPTION>
5.    Information Concerning Amount of Controlled Liquidation Payments
      ----------------------------------------------------------------
                                                                    Total Payments
                               Amount Paid       Deficit Amount     Through This
                              This Due Period    This Due Period     Due Period
      <S>                               <C>                <C>                   <C>
      Series 1997-3                     $0.00              $0.00                 $0.00
</TABLE>

<TABLE>
<CAPTION>
6.    Information Concerning the Series Interest Funding Accounts ("SIFA")
      --------------------------------------------------------------------
                                             Deposits Into the
                                               SIFAs This
                                               Due Period        SIFA Balance
      <S>                                      <C>                        <C>
      Series 1997-3                            $3,343,293.92              $0.00
</TABLE>

<TABLE>
<CAPTION>
7.    Pool Factors
      ------------
                                                                 This Due Period
      <S>                                                             <C>
      Class A                                                         1.00000000

      Class B                                                         1.00000000
</TABLE>

<TABLE>
<CAPTION>
8.    Investor Charged-Off Amount
      ---------------------------                                         Cumulative
                                                                     Investor Charged-Off
                                            This Due Period                 Amount
  <S>                                         <C>                                <C>
  (a) Group One                               $100,357,279.92                    $0.00

  (b) Group Two                                $15,765,675.46                    $0.00

  (c) Series 1997-3                             $4,230,166.55                    $0.00

  (d) Class A                                   $4,018,643.38                    $0.00

      Class B                                     $211,523.17                    $0.00
</TABLE>

<TABLE>
<CAPTION>
9.    Investor Losses This Due Period
      -------------------------------                                     Per $1,000 of
                                                                        Original Invested
                                                     Total                 Principal
  <S>                                                   <C>                    <C>
  (a)Group One                                          $0.00                  $0.00

  (b)Group Two                                          $0.00                  $0.00

  (c)Series 1997-3                                      $0.00                  $0.00

  (d)Class A                                            $0.00                  $0.00

     Class B                                            $0.00                  $0.00
</TABLE>

<PAGE>   3

<TABLE>
<CAPTION>
10.   Reimbursement of Investor Losses This Due Period
      ------------------------------------------------             Per $1,000 of
                                                                 Original Invested
                                                  Total             Principal
  <S>                                                <C>                 <C>
  (a) Group One                                      $0.00               $0.00

  (b) Group Two                                      $0.00               $0.00

  (c) Series 1997-3                                  $0.00               $0.00

  (d) Class A                                        $0.00               $0.00

      Class B                                        $0.00               $0.00
</TABLE>

<TABLE>
<CAPTION>
11.   Aggregate Amount of Unreimbursed Investor Losses
      ------------------------------------------------             Per $1,000 of
                                                                 Original Invested
                                                 Total              Principal
  <S>                                               <C>                  <C>
  (a) Group One                                     $0.00                $0.00

  (b) Group Two                                     $0.00                $0.00

  (c) Series 1997-3                                 $0.00                $0.00

  (d) Class A                                       $0.00                $0.00

      Class B                                       $0.00                $0.00
</TABLE>

<TABLE>
<CAPTION>
12.   Investor Monthly Servicing Fee Payable at the end of the Due Period
      -------------------------------------------------------------------
  <S>                                                      <C>
  (a) Group One                                            $27,053,785.01

  (b) Group Two                                             $4,250,000.00

  (c) Series 1997-3                                         $1,140,351.66

  (d) Class A                                               $1,083,333.33

      Class B                                                  $57,018.33
</TABLE>

<TABLE>
<CAPTION>
13.   Class Available Subordinated Amount at the end of the Due Period
      ----------------------------------------------------------------
                                                             As a Percentage
                                                               of Class A
                                                 Total       Invested Amount
      <S>                                    <C>               <C>
      Series 1997-3 Class B                  $85,526,375.00    13.1579%
</TABLE>

<TABLE>
<CAPTION>
14.   Total Available Credit Enhancement Amounts
      ------------------------------------------
                                                 Shared Amount   Class B Amount
      <S>                                                 <C>      <C>
      Maximum Amount                                      $0.00    $51,315,825.00

      Available Amount                                    $0.00    $51,315,825.00

      Amount of Drawings on Credit Enhancement
        for this Due Period                               $0.00             $0.00
</TABLE>

<PAGE>   4

<TABLE>
<CAPTION>
15.   Delinquency Summary
      -------------------

      End of Due Period Master Trust Receivables Outstanding          $28,518,361,329.71

                          Delinquent Amount  Percentage of Ending
      Payment Status      Ending Balance     Receivables Outstanding
      <S>                 <C>                        <C>
      30-59 days            $808,568,403.91          2.84%

      60-179 days         $1,201,933,922.02          4.21%
</TABLE>

                                            U.S. BANK NATIONAL ASSOCIATION
                                            as Trustee


                                        BY:
                                            ----------------------------
                                                  Vice President

<PAGE>   5

                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1997-3 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of October 23, 1997 (the "Series Supplement")
by and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1997-3 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
<S>                                                                                   <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                   $94,257,738.76

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                            $10,584,266.78

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                            $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                              $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                    $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                              $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                                $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                          $3,171,089.46
</TABLE>

<PAGE>   6

<TABLE>
<S>                                                                                    <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $4,961,300.10

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $557,107.83

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                 $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                           $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                             $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                         $172,204.46

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                                as Master Servicer

                           By:
                              ------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer


<PAGE>   1


                                                                    EXHIBIT (Q)


                     MONTHLY CERTIFICATEHOLDERS' STATEMENT
                         Discover Card Master Trust I
                        Series 1997-4 Monthly Statement
                     Class A Certificate CUSIP #25466KBK4
                     Class B Certificate CUSIP #25466KBL2


Trust Distribution Date: January 15, 1999  Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of October 31, 1997 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

<TABLE>
<CAPTION>
1.    Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
      -----------------------------------------------------------------------------------------------------------

      Series  1997-4                                         Total          Interest        Principal
          <S>                                            <C>             <C>              <C>
          Class A      31 days at 5.605470000%           $4.826932500    $4.826932500     $0.000000000

          Class B      31 days at 5.785470000%           $4.981932500    $4.981932500     $0.000000000
</TABLE>

<TABLE>
<CAPTION>
2.    Principal Receivables at the end of the Due Period
      --------------------------------------------------
  <S>                                                   <C>
  (a) Aggregate Investor Interest                        $18,653,104,342.64
      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75


  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1997-4 Investor Interest                       $789,474,000.00

  (e) Class A Investor Interest                             $750,000,000.00

      Class B Investor Interest                              $39,474,000.00
</TABLE>

<TABLE>
<CAPTION>
3.    Allocation of Receivables Collected During the Due Period
      ---------------------------------------------------------

                                                               Finance Charge         Principal           Yield
                                                                Collections          Collections        Collections
 <S>                                                         <C>                 <C>                            <C>
  (a) Allocation of Collections between Investor and Seller

      Aggregate Investor Allocation                           $305,843,595.24     $2,723,677,162.01              $0.00

      Seller                                                   $85,109,264.76       $757,936,946.60              $0.00

  (b) Group One Allocation                                    $264,320,101.02     $2,353,891,445.90              $0.00

  (c) Group Two Allocation                                     $41,523,494.22       $369,785,716.11              $0.00

  (d) Series 1997-4 Allocations                                $12,855,311.94       $114,482,435.11              $0.00

  (e) Class A Allocations                                      $12,212,585.44       $108,758,661.52              $0.00

      Class B Allocations                                         $642,726.50         $5,723,773.59              $0.00
</TABLE>

<PAGE>   2

<TABLE>
<CAPTION>
4.    Information Concerning the Series Principal Funding Accounts ("SPFA")
      ---------------------------------------------------------------------
                        Deposits into the
                           SPFAs This        SPFA    Deposit Deficit   Investment
                           Due Period       Balance      Amount          Income
      <S>                      <C>          <C>          <C>             <C>
      Series 1997-4             $0.00         $0.00        0.00            $0.00
</TABLE>

<TABLE>
<CAPTION>
5.    Information Concerning Amount of Controlled Liquidation Payments
      ----------------------------------------------------------------
                                                                   Total Payments
                                Amount Paid     Deficit Amount      Through This
                              This Due Period   This Due Period      Due Period
      <S>                              <C>               <C>                  <C>
      Series 1997-4                     $0.00              $0.00               $0.00
</TABLE>

<TABLE>
<CAPTION>
6.    Information Concerning the Series Interest Funding Accounts ("SIFA")
      --------------------------------------------------------------------
                                           Deposits Into the
                                              SIFAs This
                                              Due Period       SIFA Balance
      <S>                                     <C>                         <C>
      Series 1997-4                           $3,816,856.18               $0.00
</TABLE>

<TABLE>
<CAPTION>
7.    Pool Factors
      ------------
                                                         This Due Period
      <S>                                                    <C>
      Class A                                                 1.00000000

      Class B                                                 1.00000000
</TABLE>

<TABLE>
<CAPTION>
8.    Investor Charged-Off Amount
      ---------------------------
                                                               Cumulative
                                                            Investor Charged-Off
                                        This Due Period          Amount
  <S>                                    <C>                          <C>
  (a) Group One                           $100,357,279.92              $0.00

  (b) Group Two                            $15,765,675.46              $0.00

  (c) Series 1997-4                         $4,880,915.73              $0.00

  (d) Class A                               $4,636,884.79              $0.00

      Class B                                 $244,030.94              $0.00
</TABLE>

<TABLE>
<CAPTION>
9.    Investor Losses This Due Period
      -------------------------------
                                                               Per $1,000 of
                                                             Original Invested
                                                Total            Principal
  <S>                                              <C>            <C>
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1997-4                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<PAGE>   3

<TABLE>
<CAPTION>
10.   Reimbursement of Investor Losses This Due Period
      ------------------------------------------------         Per $1,000 of
                                                             Original Invested
                                                  Total          Principal
  <S>                                              <C>            <C>
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1997-4                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
11.   Aggregate Amount of Unreimbursed Investor Losses
      ------------------------------------------------         Per $1,000 of
                                                             Original Invested
                                                Total            Principal
  <S>                                              <C>            <C>
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1997-4                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<TABLE>
<CAPTION>
12.   Investor Monthly Servicing Fee Payable at the end of the Due Period
      -------------------------------------------------------------------
  <S>                                                     <C>
  (a) Group One                                            $27,053,785.01

  (b) Group Two                                             $4,250,000.00

  (c) Series 1997-4                                         $1,315,790.00

  (d) Class A                                               $1,250,000.00

      Class B                                                  $65,790.00
</TABLE>

<TABLE>
<CAPTION>
13.   Class Available Subordinated Amount at the end of the Due Period
      ----------------------------------------------------------------
                                                               As a Percentage
                                                                 of Class A
                                                  Total        Invested Amount
      <S>                                     <C>                 <C>
      Series 1997-4 Class B                   $98,684,250.00      13.1579%
</TABLE>

<TABLE>
<CAPTION>
14.   Total Available Credit Enhancement Amounts
      ------------------------------------------

                                              Shared Amount    Class B Amount
      <S>                                             <C>         <C>
      Maximum Amount                                   $0.00       $59,210,550.00

      Available Amount                                 $0.00       $59,210,550.00

      Amount of Drawings on Credit Enhancement
        for this Due Period                            $0.00                $0.00
</TABLE>

<PAGE>   4

<TABLE>
<CAPTION>
15.   Delinquency Summary
      -------------------

      End of Due Period Master Trust Receivables Outstanding      $28,518,361,329.71

                          Delinquent Amount  Percentage of Ending
      Payment Status      Ending Balance     Receivables Outstanding
      <S>                 <C>                       <C>
      30-59 days            $808,568,403.91         2.84%

      60-179 days         $1,201,933,922.02         4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY:
                                  -------------------------------
                                        Vice President


<PAGE>   5


                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1997-4 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of October 31, 1997 (the "Series Supplement")
by and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1997-4 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
<S>                                                                                    <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                 $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                   $108,758,661.52

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                             $12,212,585.44

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                             $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                               $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                     $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                               $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                                 $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                           $3,620,199.38
</TABLE>

<PAGE>   6

<TABLE>
<S>                                                                                    <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $5,723,773.59

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $642,726.50

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                 $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                           $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                             $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                         $196,656.80

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                                as Master Servicer

                           By:
                              -----------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer


<PAGE>   1


                                                                    EXHIBIT (R)

                     MONTHLY CERTIFICATEHOLDERS' STATEMENT
                         Discover Card Master Trust I
                        Series 1998-1 Monthly Statement
                     Class A Certificate CUSIP #25466KBM0
                     Class B Certificate CUSIP #25466KBN8


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of January 14, 1998 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

<TABLE>
<CAPTION>
1.    Payments for the benefit of Series Investors this Due Period (per $1000 of Class Initial Investor Interest)
      -----------------------------------------------------------------------------------------------------------

      Series  1998-1                                Total         Interest      Principal
          <S>                                   <C>             <C>           <C>
          Class A      31 days at 5.625470000%  $4.844154722    $4.844154722  $0.000000000

          Class B      31 days at 5.805470000%  $4.999154722    $4.999154722  $0.000000000
</TABLE>

<TABLE>
<CAPTION>
2.    Principal Receivables at the end of the Due Period
      --------------------------------------------------
  <S>                                                   <C>
  (a) Aggregate Investor Interest                        $18,653,104,342.64
      Seller Interest                                     $9,454,017,561.11

      Total Master Trust                                 $28,107,121,903.75


  (b) Group One Investor Interest                        $16,103,104,342.64

  (c) Group Two Investor Interest                         $2,550,000,000.00

  (d) Series 1998-1 Investor Interest                       $368,422,000.00

  (e) Class A Investor Interest                             $350,000,000.00

      Class B Investor Interest                              $18,422,000.00
</TABLE>

<TABLE>
<CAPTION>
3.    Allocation of Receivables Collected During the Due Period
      ---------------------------------------------------------

                                                              Finance Charge         Principal         Yield
                                                               Collections          Collections      Collections
  <S>                                                        <C>                 <C>                          <C>
  (a) Allocation of Collections between Investor and Seller

      Aggregate Investor Allocation                          $305,843,595.24     $2,723,677,162.01            $0.00

      Seller                                                  $85,109,264.76       $757,936,946.60            $0.00

  (b) Group One Allocation                                   $264,320,101.02     $2,353,891,445.90            $0.00

  (c) Group Two Allocation                                    $41,523,494.22       $369,785,716.11            $0.00

  (d) Series 1998-1 Allocations                                $5,999,171.64        $53,425,368.50            $0.00

  (e) Class A Allocations                                      $5,699,310.80        $50,754,970.48            $0.00

      Class B Allocations                                        $299,860.84         $2,670,398.02            $0.00
</TABLE>

<PAGE>   2

<TABLE>
<CAPTION>
4.    Information Concerning the Series Principal Funding Accounts ("SPFA")
      ---------------------------------------------------------------------
                        Deposits into the
                           SPFAs This        SPFA    Deposit Deficit  Investment
                           Due Period       Balance      Amount         Income
      <S>                       <C>         <C>              <C>          <C>
      Series 1998-1             $0.00       $0.00            0.00         $0.00
</TABLE>

<TABLE>
<CAPTION>
5.    Information Concerning Amount of Controlled Liquidation Payments
      ----------------------------------------------------------------
                                                                     Total Payments
                                Amount Paid       Deficit Amount      Through This
                              This Due Period     This Due Period      Due Period
      <S>                               <C>                  <C>                 <C>
      Series 1998-1                     $0.00                $0.00               $0.00
</TABLE>

<TABLE>
<CAPTION>
6.    Information Concerning the Series Interest Funding Accounts ("SIFA")
      --------------------------------------------------------------------
                                            Deposits Into the
                                               SIFAs This
                                               Due Period       SIFA Balance
      <S>                                      <C>                      <C>
      Series 1998-1                            $1,787,548.58            $0.00
</TABLE>

<TABLE>
<CAPTION>
7.    Pool Factors
      ------------
                                                         This Due Period
      <S>                                                     <C>
      Class A                                                 1.00000000

      Class B                                                 1.00000000
</TABLE>

<TABLE>
<CAPTION>
8.    Investor Charged-Off Amount
      ---------------------------
                                                                Cumulative
                                                            Investor Charged-Off
                                         This Due Period          Amount
  <S>                                     <C>                          <C>
  (a) Group One                           $100,357,279.92              $0.00

  (b) Group Two                            $15,765,675.46              $0.00

  (c) Series 1998-1                         $2,277,770.57              $0.00

  (d) Class A                               $2,163,919.15              $0.00

      Class B                                 $113,851.42              $0.00
</TABLE>

<TABLE>
<CAPTION>
9.    Investor Losses This Due Period
      -------------------------------
                                                              Per $1,000 of
                                                             Original Invested
                                                Total          Principal
  <S>                                               <C>            <C>
  (a) Group One                                     $0.00          $0.00

  (b) Group Two                                     $0.00          $0.00

  (c) Series 1998-1                                 $0.00          $0.00

  (d) Class A                                       $0.00          $0.00

      Class B                                       $0.00          $0.00
</TABLE>

<PAGE>   3

<TABLE>

10.   Reimbursement of Investor Losses This Due Period
      ------------------------------------------------         Per $1,000 of
                                                             Original Invested
                                                Total            Principal
  <S>                                               <C>                 <C>
  (a) Group One                                     $0.00               $0.00

  (b) Group Two                                     $0.00               $0.00

  (c) Series 1998-1                                 $0.00               $0.00

  (d) Class A                                       $0.00               $0.00

      Class B                                       $0.00               $0.00
</TABLE>

<TABLE>
<CAPTION>
11.   Aggregate Amount of Unreimbursed Investor Losses
      ------------------------------------------------         Per $1,000 of
                                                             Original Invested
                                                Total            Principal
  <S>                                               <C>                 <C>
  (a) Group One                                     $0.00               $0.00

  (b) Group Two                                     $0.00               $0.00

  (c) Series 1998-1                                 $0.00               $0.00

  (d) Class A                                       $0.00               $0.00

      Class B                                       $0.00               $0.00
</TABLE>

<TABLE>
<CAPTION>
12.   Investor Monthly Servicing Fee Payable at the end of the Due Period
      -------------------------------------------------------------------
  <S>                                                      <C>
  (a) Group One                                            $27,053,785.01

  (b) Group Two                                             $4,250,000.00

  (c) Series 1998-1                                           $614,036.66

  (d) Class A                                                 $583,333.33

      Class B                                                  $30,703.33
</TABLE>

<TABLE>
<CAPTION>
13.   Class Available Subordinated Amount at the end of the Due Period
      ----------------------------------------------------------------
                                                              As a Percentage
                                                                of Class A
                                                  Total       Invested Amount
      <S>                                     <C>                <C>
      Series 1998-1 Class B                   $46,052,750.00     13.1579%
</TABLE>

<TABLE>
<CAPTION>
14.   Total Available Credit Enhancement Amounts
      ------------------------------------------

                                              Shared Amount   Class B Amount
      <S>                                              <C>       <C>
      Maximum Amount                                   $0.00     $27,631,650.00

      Available Amount                                 $0.00     $27,631,650.00

      Amount of Drawings on Credit Enhancement
        for this Due Period                            $0.00              $0.00
</TABLE>

<PAGE>   4

<TABLE>
<CAPTION>
15.   Delinquency Summary
      -------------------

      End of Due Period Master Trust Receivables Outstanding      $28,518,361,329.71

                             Delinquent Amount     Percentage of Ending
      Payment Status         Ending Balance        Receivables Outstanding
      <S>                    <C>                           <C>
      30-59 days               $808,568,403.91             2.84%

      60-179 days            $1,201,933,922.02             4.21%
</TABLE>


                                 U.S. BANK NATIONAL ASSOCIATION
                                 as Trustee


                              BY:
                                  --------------------------------
                                        Vice President

<PAGE>   5


                    MASTER SERVICER'S CERTIFICATE STATEMENT

                         Discover Card Master Trust I

                        Series 1998-1 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of January 14, 1998 (the "Series Supplement")
by and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1998-1 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
<S>                                                                                   <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                   $50,754,970.48

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                             $5,699,310.80

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                            $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                              $0.00

  7. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                    $0.00
           is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                              $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                                $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                          $1,695,454.15
</TABLE>

<PAGE>   6

<TABLE>
<S>                                                                                     <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                 $2,670,398.02

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                            $299,860.84

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                         $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                           $0.00

 12. The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                 $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                           $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                             $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                          $92,094.43

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee pursuant to
     Section 16 of the Series Supplement.
</TABLE>

     IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this  15th day of January, 1999.



                           GREENWOOD TRUST COMPANY
                                as Master Servicer

                           By:
                              ------------------------------
                           Vice President, Chief Accounting Officer,
                           and Treasurer


<PAGE>   1
                                                                    EXHIBIT (S)



                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1998-2 Monthly Statement
                   Class A Certificate CUSIP #25466KBP3
                   Class B Certificate CUSIP #25466KBQ1


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of March 4, 1998 relating to the
Pooling and Servicing Agreement dated as of October 1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

1.     Payments for the benefit of Series Investors this Due Period (per $1000 
       -----------------------------------------------------------------------
       of Class Initial Investor Interest)
       -----------------------------------
<TABLE>
<CAPTION>

       Series  1998-2                                        Total          Interest          Principal
           <S>                                         <C>               <C>                 <C>
           Class A      30 days at 5.800000000%        $4.833333333      $4.833333333        $0.000000000

           Class B      30 days at 5.950000000%        $4.958333333      $4.958333333        $0.000000000
</TABLE>

2.     Principal Receivables at the end of the Due Period
       --------------------------------------------------
<TABLE>
  <S>                                                                             <C>
  (a)  Aggregate Investor Interest                                                $18,653,104,342.64
       Seller Interest                                                             $9,454,017,561.11

       Total Master Trust                                                         $28,107,121,903.75


  (b)  Group One Investor Interest                                                $16,103,104,342.64

  (c)  Group Two Investor Interest                                                 $2,550,000,000.00

  (d)  Series 1998-2 Investor Interest                                               $526,316,000.00

  (e)  Class A Investor Interest                                                     $500,000,000.00

       Class B Investor Interest                                                      $26,316,000.00
</TABLE>

3.     Allocation of Receivables Collected During the Due Period
       ---------------------------------------------------------

<TABLE>
<CAPTION>
                                                                        Finance Charge         Principal           Yield
                                                                         Collections          Collections        Collections
  <S>                                                                  <C>                  <C>                          <C>
  (a)  Allocation of Collections between Investor and Seller

       Aggregate Investor Allocation                                   $305,843,595.24      $2,723,677,162.01            $0.00

       Seller                                                           $85,109,264.76        $757,936,946.60            $0.00

  (b)  Group One Allocation                                            $264,320,101.02      $2,353,891,445.90            $0.00

  (c)  Group Two Allocation                                             $41,523,494.22        $369,785,716.11            $0.00

  (d)  Series 1998-2 Allocations                                         $8,570,468.59         $76,323,944.49            $0.00

  (e)  Class A Allocations                                               $8,141,984.26         $72,508,095.43            $0.00

       Class B Allocations                                                 $428,484.33          $3,815,849.06            $0.00
</TABLE>



<PAGE>   2

4.     Information Concerning the Series Principal Funding Accounts ("SPFA")
       ---------------------------------------------------------------------
<TABLE>
<CAPTION>
                                    Deposits into the
                                     SPFAs This                SPFA            Deposit Deficit          Investment
                                     Due Period               Balance            Amount                  Income
       <S>                              <C>                   <C>                   <C>                   <C>
       Series 1998-2                    $0.00                 $0.00                 0.00                  $0.00
</TABLE>

5.     Information Concerning Amount of Controlled Liquidation Payments
       ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                            Total Payments
                                         Amount Paid             Deficit Amount             Through This
                                        This Due Period          This Due Period             Due Period
       <S>                                    <C>                       <C>                         <C>
       Series 1998-2                          $0.00                     $0.00                       $0.00
</TABLE>

6.     Information Concerning the Series Interest Funding Accounts ("SIFA")
       --------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                    Deposits Into the
                                                                      SIFAs This
                                                                      Due Period               SIFA Balance
       <S>                                                         <C>                       <C>
       Series 1998-2                                               $2,547,150.17             $10,188,600.68
</TABLE>

7.     Pool Factors
       ------------
<TABLE>
<CAPTION>
                                                                                         This Due Period
       <S>                                                                                <C>
       Class A                                                                            1.00000000

       Class B                                                                            1.00000000
</TABLE>

8.     Investor Charged-Off Amount
       ---------------------------
<TABLE>
<CAPTION>
                                                                                                Cumulative
                                                                                           Investor Charged-Off
                                                            This Due Period                       Amount
  <S>                                                         <C>                                   <C>
  (a)  Group One                                              $100,357,279.92                       $0.00

  (b)  Group Two                                               $15,765,675.46                       $0.00

  (c)  Series 1998-2                                            $3,254,042.78                       $0.00

  (d)  Class A                                                  $3,091,355.48                       $0.00

       Class B                                                    $162,687.30                       $0.00
</TABLE>

9.     Investor Losses This Due Period
       -------------------------------
<TABLE>
<CAPTION>
                                                                                             Per $1,000 of
                                                                                            Original Invested
                                                                      Total                   Principal
  <S>                                                                   <C>                       <C>
  (a)  Group One                                                        $0.00                     $0.00

  (b)  Group Two                                                        $0.00                     $0.00

  (c)  Series 1998-2                                                    $0.00                     $0.00

  (d)  Class A                                                          $0.00                     $0.00

       Class B                                                          $0.00                     $0.00
</TABLE>



<PAGE>   3
10.    Reimbursement of Investor Losses This Due Period
       ------------------------------------------------ 
<TABLE>
<CAPTION>
                                                                                              Per $1,000 of
                                                                                             Original Invested
                                                                           Total                Principal

  <S>                                                                        <C>                    <C>
  (a)  Group One                                                             $0.00                  $0.00

  (b)  Group Two                                                             $0.00                  $0.00

  (c)  Series 1998-2                                                         $0.00                  $0.00

  (d)  Class A                                                               $0.00                  $0.00

       Class B                                                               $0.00                  $0.00
</TABLE>

11.    Aggregate Amount of Unreimbursed Investor Losses                       
       ------------------------------------------------                       
<TABLE>
<CAPTION>
                                                                                               Per $1,000 of
                                                                                             Original Invested
                                                                             Total               Principal
  <S>                                                                        <C>                    <C>
  (a)  Group One                                                             $0.00                  $0.00

  (b)  Group Two                                                             $0.00                  $0.00

  (c)  Series 1998-2                                                         $0.00                  $0.00

  (d)  Class A                                                               $0.00                  $0.00

       Class B                                                               $0.00                  $0.00
</TABLE>

12.    Investor Monthly Servicing Fee Payable at the end of the Due Period
       -------------------------------------------------------------------
<TABLE>
  <S>                                                                                            <C>
  (a)  Group One                                                                                 $27,053,785.01

  (b)  Group Two                                                                                  $4,250,000.00

  (c)  Series 1998-2                                                                                $877,193.33

  (d)  Class A                                                                                      $833,333.33

       Class B                                                                                       $43,860.00
</TABLE>

13.    Class Available Subordinated Amount at the end of the Due Period
       ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                                 As a Percentage
                                                                                                   of Class A
                                                                          Total                  Invested Amount
       <S>                                                            <C>                           <C>
       Series 1998-2 Class B                                          $44,736,860.00                8.9474%
</TABLE>

14.    Total Available Credit Enhancement Amounts
       ------------------------------------------
<TABLE>
<CAPTION>
                                                                        Shared Amount             Class B Amount
       <S>                                                                       <C>                <C>
       Maximum Amount                                                            $0.00              $21,052,640.00

       Available Amount                                                          $0.00              $21,052,640.00

       Amount of Drawings on Credit Enhancement
         for this Due Period                                                     $0.00                       $0.00
</TABLE>



<PAGE>   4




15.    Delinquency Summary
       -------------------

       End of Due Period Master Trust Receivables Outstanding $28,518,361,329.71

<TABLE>
<CAPTION>
                                              Delinquent Amount                Percentage of Ending
       Payment Status                         Ending Balance                   Receivables Outstanding
       <S>                                 <C>                                      <C>
       30-59 days                            $808,568,403.91                        2.84%

       60-179 days                         $1,201,933,922.02                        4.21%
</TABLE>

                                               U.S. BANK NATIONAL ASSOCIATION
                                               as Trustee


                                            BY:
                                                ----------------------------

                                                      Vice President



<PAGE>   5


                    MASTER SERVICER'S CERTIFICATE STATEMENT

                          Discover Card Master Trust I

                        Series 1998-2 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of March 4, 1998 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1998-2 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
 <S>                                                                                        <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                     $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                        $72,508,095.43

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                                  $8,141,984.26

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                                 $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                                   $0.00

 7.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                         $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                                   $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                                     $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                                       $0.00


</TABLE>

<PAGE>   6



<TABLE>
<S>                                                                                          <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                      $3,815,849.06

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                                 $428,484.33

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                              $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                                $0.00

12.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                      $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                                $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                                  $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                                    $0.00

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee 
     pursuant to Section 16 of the Series Supplement.
</TABLE>

      IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this 15th day of January, 1999.



                                     GREENWOOD TRUST COMPANY
                                       as Master Servicer

                                     By:
                                        -------------------------
                                     Vice President, Chief Accounting Officer,
                                     and Treasurer





<PAGE>   1
                                                                     EXHIBIT (T)




                     MONTHLY CERTIFICATEHOLDERS' STATEMENT
                          Discover Card Master Trust I
                       Series 1998-3 Monthly Statement
                      Class A Certificate CUSIP #25466KBR9
                      Class B Certificate CUSIP #25466KBS7


Trust Distribution Date: January 15, 1999  Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of March 25, 1998 relating to the
Pooling and Servicing Agreement dated as of October  1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

1.     Payments for the benefit of Series Investors this Due Period (per $1000 
       ------------------------------------------------------------------------ 
       of Class Initial Investor Interest)
       -----------------------------------

<TABLE>
<CAPTION>
       Series  1998-3                                    Total          Interest        Principal
           <S>          <C>                         <C>              <C>              <C>
           Class A      31 days at 5.660470000%     $4.874293611     $4.874293611     $0.000000000

           Class B      31 days at 5.825470000%     $5.016376944     $5.016376944     $0.000000000
</TABLE>

2.     Principal Receivables at the end of the Due Period
       --------------------------------------------------
<TABLE>
   <S>                                                                         <C>
  (a)  Aggregate Investor Interest                                             $18,653,104,342.64
       Seller Interest                                                          $9,454,017,561.11

       Total Master Trust                                                      $28,107,121,903.75


  (b)  Group One Investor Interest                                             $16,103,104,342.64

  (c)  Group Two Investor Interest                                              $2,550,000,000.00

  (d)  Series 1998-3 Investor Interest                                            $789,474,000.00

  (e)  Class A Investor Interest                                                  $750,000,000.00

       Class B Investor Interest                                                   $39,474,000.00
</TABLE>

3.     Allocation of Receivables Collected During the Due Period
       ---------------------------------------------------------

<TABLE>
<CAPTION>
                                                                  Finance Charge             Principal             Yield
                                                                   Collections              Collections          Collections
  <S>                                                             <C>                    <C>                          <C>
  (a)  Allocation of Collections between Investor and Seller

       Aggregate Investor Allocation                              $305,843,595.24        $2,723,677,162.01            $0.00

       Seller                                                       $85,109,264.76         $757,936,946.60            $0.00

  (b)  Group One Allocation                                        $264,320,101.02       $2,353,891,445.90            $0.00

  (c)  Group Two Allocation                                         $41,523,494.22         $369,785,716.11            $0.00

  (d)  Series 1998-3 Allocations                                    $12,855,311.94         $114,482,435.11            $0.00

  (e)  Class A Allocations                                          $12,212,585.44         $108,758,661.52            $0.00

       Class B Allocations                                             $642,726.50           $5,723,773.59            $0.00
</TABLE>


<PAGE>   2

4.     Information Concerning the Series Principal Funding Accounts ("SPFA")
       ---------------------------------------------------------------------
<TABLE>
<CAPTION>
                           Deposits into the
                            SPFAs This               SPFA           Deposit Deficit          Investment
                            Due Period              Balance           Amount                  Income
       <S>                     <C>                  <C>                  <C>                   <C>
       Series 1998-3           $0.00                $0.00                0.00                  $0.00
</TABLE>

5.     Information Concerning Amount of Controlled Liquidation Payments
       ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                           Total Payments
                                         Amount Paid              Deficit Amount           Through This
                                        This Due Period           This Due Period           Due Period
       <S>                                    <C>                        <C>                       <C>
       Series 1998-3                          $0.00                      $0.00                     $0.00
</TABLE>

6.     Information Concerning the Series Interest Funding Accounts ("SIFA")
       --------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                          Deposits Into the
                                                                             SIFAs This
                                                                             Due Period            SIFA Balance
       <S>                                                                <C>                             <C>
       Series 1998-3                                                      $3,853,736.67                   $0.00
</TABLE>

7.     Pool Factors
       ------------
<TABLE>
<CAPTION>
                                                                                           This Due Period
       <S>                                                                                       <C>
       Class A                                                                                   1.00000000

       Class B                                                                                   1.00000000
</TABLE>

8.     Investor Charged-Off Amount
       ---------------------------
<TABLE>
<CAPTION>
                                                                                                   Cumulative
                                                                                               Investor Charged-Off
                                                               This Due Period                       Amount
  <S>                                                            <C>                                    <C>
  (a)  Group One                                                 $100,357,279.92                        $0.00

  (b)  Group Two                                                  $15,765,675.46                        $0.00

  (c)  Series 1998-3                                               $4,880,915.73                        $0.00

  (d)  Class A                                                     $4,636,884.79                        $0.00

       Class B                                                       $244,030.94                        $0.00
</TABLE>

9.     Investor Losses This Due Period
       -------------------------------
<TABLE>
<CAPTION>
                                                                                                 Per $1,000 of
                                                                                                Original Invested
                                                                         Total                    Principal
  <S>                                                                      <C>                        <C>
  (a)  Group One                                                           $0.00                      $0.00

  (b)  Group Two                                                           $0.00                      $0.00

  (c)  Series 1998-3                                                       $0.00                      $0.00

  (d)  Class A                                                             $0.00                      $0.00

       Class B                                                             $0.00                      $0.00
</TABLE>

<PAGE>   3


<TABLE>
<CAPTION>
10.    Reimbursement of Investor Losses This Due Period                                             Per $1,000 of
       ------------------------------------------------                                            Original Invested
                                                                          Total                      Principal
  <S>                                                                       <C>                          <C>
  (a)  Group One                                                            $0.00                        $0.00

  (b)  Group Two                                                            $0.00                        $0.00

  (c)  Series 1998-3                                                        $0.00                        $0.00

  (d)  Class A                                                              $0.00                        $0.00

       Class B                                                              $0.00                        $0.00
</TABLE>

<TABLE>
<CAPTION>
11.    Aggregate Amount of Unreimbursed Investor Losses                                             Per $1,000 of
       ------------------------------------------------                                            Original Invested
                                                                          Total                      Principal
  <S>                                                                       <C>                          <C>
  (a)  Group One                                                            $0.00                        $0.00

  (b)  Group Two                                                            $0.00                        $0.00

  (c)  Series 1998-3                                                        $0.00                        $0.00

  (d)  Class A                                                              $0.00                        $0.00

       Class B                                                              $0.00                        $0.00
</TABLE>

12.    Investor Monthly Servicing Fee Payable at the end of the Due Period
       -------------------------------------------------------------------
<TABLE>
  <S>                                                                                            <C>
  (a)  Group One                                                                                 $27,053,785.01

  (b)  Group Two                                                                                  $4,250,000.00

  (c)  Series 1998-3                                                                              $1,315,790.00

  (d)  Class A                                                                                    $1,250,000.00

       Class B                                                                                       $65,790.00
</TABLE>

13.    Class Available Subordinated Amount at the end of the Due Period
       ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                                     As a Percentage
                                                                                                       of Class A
                                                                            Total                    Invested Amount
       <S>                                                              <C>                            <C>
       Series 1998-3 Class B                                            $98,684,250.00                 13.1579%
</TABLE>

14.    Total Available Credit Enhancement Amounts
       ------------------------------------------
<TABLE>
<CAPTION>
                                                                         Shared Amount               Class B Amount
       <S>                                                                        <C>                 <C>
       Maximum Amount                                                             $0.00               $59,210,550.00

       Available Amount                                                           $0.00               $59,210,550.00

       Amount of Drawings on Credit Enhancement
         for this Due Period                                                      $0.00                        $0.00
</TABLE>



<PAGE>   4

15.    Delinquency Summary
       -------------------

       End of Due Period Master Trust Receivables Outstanding $28,518,361,329.71

<TABLE>
<CAPTION>
                                         Delinquent Amount               Percentage of Ending
       Payment Status                    Ending Balance                  Receivables Outstanding
       <S>                            <C>                                     <C>
       30-59 days                       $808,568,403.91                       2.84%

       60-179 days                    $1,201,933,922.02                       4.21%
</TABLE>


                                                U.S. BANK NATIONAL ASSOCIATION
                                                as Trustee


                                             BY:
                                                 ----------------------------

                                                       Vice President









<PAGE>   5

                    MASTER SERVICER'S CERTIFICATE STATEMENT

                          Discover Card Master Trust I

                        Series 1998-3 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of March 25, 1998 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1998-3 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:


<TABLE>
 <S>                                                                                       <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                    $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                      $108,758,661.52

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                                $12,212,585.44

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                                $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                                  $0.00

 7.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                        $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                                  $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                                    $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                              $3,655,720.21
</TABLE>


<PAGE>   6

<TABLE>
<S>                                                                                            <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                        $5,723,773.59

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                                   $642,726.50

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                                $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                                  $0.00

12.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                        $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                                  $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                                    $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                                $198,016.46

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee 
     pursuant to Section 16 of the Series Supplement.
</TABLE>

       IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this 15th day of January, 1999.



                                       GREENWOOD TRUST COMPANY
                                         as Master Servicer

                                       By:
                                          -------------------------
                                       Vice President, Chief Accounting Officer,
                                       and Treasurer



<PAGE>   1
                                                                     EXHIBIT (U)




                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1998-4 Monthly Statement
                   Class A Certificate CUSIP #25466KBT5
                   Class B Certificate CUSIP #25466KBU2


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of April 9, 1998 relating to the
Pooling and Servicing Agreement dated as of October 1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

1.     Payments for the benefit of Series Investors this Due Period (per $1000 
       -----------------------------------------------------------------------
       of Class Initial Investor Interest) 
       -----------------------------------

<TABLE>
<CAPTION>
       Series  1998-4                                      Total            Interest          Principal
           <S>                                        <C>                <C>                <C>
           Class A      30 days at 5.750000000%       $4.791666667       $4.791666667       $0.000000000

           Class B      30 days at 5.900000000%       $4.916666667       $4.916666667       $0.000000000
</TABLE>

2.     Principal Receivables at the end of the Due Period
       --------------------------------------------------
<TABLE>
  <S>                                                                               <C>
  (a)  Aggregate Investor Interest                                                  $18,653,104,342.64
       Seller Interest                                                               $9,454,017,561.11

       Total Master Trust                                                           $28,107,121,903.75


  (b)  Group One Investor Interest                                                  $16,103,104,342.64

  (c)  Group Two Investor Interest                                                   $2,550,000,000.00

  (d)  Series 1998-4 Investor Interest                                                 $526,316,000.00

  (e)  Class A Investor Interest                                                       $500,000,000.00

       Class B Investor Interest                                                        $26,316,000.00
</TABLE>

3.     Allocation of Receivables Collected During the Due Period
       ---------------------------------------------------------

<TABLE>
<CAPTION>
                                                                  Finance Charge             Principal               Yield
                                                                   Collections              Collections            Collections
  <S>                                                              <C>                    <C>                          <C>
  (a)  Allocation of Collections between Investor and Seller

       Aggregate Investor Allocation                               $305,843,595.24        $2,723,677,162.01            $0.00

       Seller                                                       $85,109,264.76          $757,936,946.60            $0.00

  (b)  Group One Allocation                                        $264,320,101.02        $2,353,891,445.90            $0.00

  (c)  Group Two Allocation                                         $41,523,494.22          $369,785,716.11            $0.00

  (d)  Series 1998-4 Allocations                                     $8,570,468.59           $76,323,944.49            $0.00

  (e)  Class A Allocations                                           $8,141,984.26           $72,508,095.43            $0.00

       Class B Allocations                                             $428,484.33            $3,815,849.06            $0.00
</TABLE>

<PAGE>   2


4.     Information Concerning the Series Principal Funding Accounts ("SPFA")
       ---------------------------------------------------------------------
<TABLE>
<CAPTION>
                                           Deposits into the
                                            SPFAs This                  SPFA          Deposit Deficit         Investment
                                            Due Period                 Balance          Amount                 Income
       <S>                                     <C>                     <C>                 <C>                  <C>
       Series 1998-4                           $0.00                   $0.00               0.00                 $0.00
</TABLE>

5.     Information Concerning Amount of Controlled Liquidation Payments
       ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                                          Total Payments
                                                 Amount Paid              Deficit Amount                  Through This
                                                This Due Period           This Due Period                  Due Period
       <S>                                            <C>                        <C>                              <C>
       Series 1998-4                                  $0.00                      $0.00                            $0.00
</TABLE>

6.     Information Concerning the Series Interest Funding Accounts ("SIFA")
       --------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                               Deposits Into the
                                                                                 SIFAs This
                                                                                 Due Period                     SIFA Balance
       <S>                                                                    <C>                              <C>
       Series 1998-4                                                          $2,525,220.33                    $7,575,660.99
</TABLE>

7.     Pool Factors
       ------------
<TABLE>
<CAPTION>
                                                                                                     This Due Period
       <S>                                                                                                <C>
       Class A                                                                                            1.00000000

       Class B                                                                                            1.00000000
</TABLE>

8.     Investor Charged-Off Amount
       ---------------------------
<TABLE>
<CAPTION>
                                                                                                       Cumulative
                                                                                                    Investor Charged-Off
                                                                       This Due Period                  Amount
  <S>                                                               <C>                                      <C>
  (a)  Group One                                                    $100,357,279.92                          $0.00

  (b)  Group Two                                                     $15,765,675.46                          $0.00

  (c)  Series 1998-4                                                  $3,254,042.78                          $0.00

  (d)  Class A                                                        $3,091,355.48                          $0.00

       Class B                                                          $162,687.30                          $0.00
</TABLE>

9.     Investor Losses This Due Period
       -------------------------------
<TABLE>
<CAPTION>
                                                                                                      Per $1,000 of
                                                                                                     Original Invested
                                                                            Total                      Principal
  <S>                                                                         <C>                          <C>
  (a)  Group One                                                              $0.00                        $0.00

  (b)  Group Two                                                              $0.00                        $0.00

  (c)  Series 1998-4                                                          $0.00                        $0.00

  (d)  Class A                                                                $0.00                        $0.00

       Class B                                                                $0.00                        $0.00
</TABLE>


<PAGE>   3

<TABLE>
<CAPTION>

10.    Reimbursement of Investor Losses This Due Period                                         Per $1,000 of
       ------------------------------------------------                                        Original Invested
                                                                         Total                   Principal
  <S>                                                                      <C>                       <C>
  (a)  Group One                                                           $0.00                     $0.00

  (b)  Group Two                                                           $0.00                     $0.00

  (c)  Series 1998-4                                                       $0.00                     $0.00

  (d)  Class A                                                             $0.00                     $0.00

       Class B                                                             $0.00                     $0.00
</TABLE>

<TABLE>
<CAPTION>
11.    Aggregate Amount of Unreimbursed Investor Losses                                         Per $1,000 of
       ------------------------------------------------                                        Original Invested
                                                                         Total                   Principal
  <S>                                                                      <C>                       <C>
  (a)  Group One                                                           $0.00                     $0.00

  (b)  Group Two                                                           $0.00                     $0.00

  (c)  Series 1998-4                                                       $0.00                     $0.00

  (d)  Class A                                                             $0.00                     $0.00

       Class B                                                             $0.00                     $0.00
</TABLE>

12.    Investor Monthly Servicing Fee Payable at the end of the Due Period
       -------------------------------------------------------------------
<TABLE>
<CAPTION>
  <S>                                                                                         <C>
  (a)  Group One                                                                              $27,053,785.01

  (b)  Group Two                                                                               $4,250,000.00

  (c)  Series 1998-4                                                                             $877,193.33

  (d)  Class A                                                                                   $833,333.33

       Class B                                                                                    $43,860.00
</TABLE>

13.    Class Available Subordinated Amount at the end of the Due Period
       ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                                     As a Percentage
                                                                                                       of Class A
                                                                                Total                Invested Amount
       <S>                                                                  <C>                         <C>
       Series 1998-4 Class B                                                $44,736,860.00              8.9474%
</TABLE>

14.    Total Available Credit Enhancement Amounts
       ------------------------------------------
<TABLE>
<CAPTION>
                                                                             Shared Amount          Class B Amount
       <S>                                                                         <C>                 <C>
       Maximum Amount                                                              $0.00               $21,052,640.00

       Available Amount                                                            $0.00               $21,052,640.00

       Amount of Drawings on Credit Enhancement
         for this Due Period                                                       $0.00                        $0.00
</TABLE>

<PAGE>   4


15.    Delinquency Summary
       -------------------

       End of Due Period Master Trust Receivables Outstanding $28,518,361,329.71

<TABLE>
<CAPTION>
                                                     Delinquent Amount                        Percentage of Ending
       Payment Status                                Ending Balance                           Receivables Outstanding
       <S>                                        <C>                                              <C>
       30-59 days                                   $808,568,403.91                                2.84%

       60-179 days                                $1,201,933,922.02                                4.21%
</TABLE>

                                                  U.S. BANK NATIONAL ASSOCIATION
                                                  as Trustee


                                              BY:
                                                  ----------------------------

                                                        Vice President



<PAGE>   5



                    MASTER SERVICER'S CERTIFICATE STATEMENT

                          Discover Card Master Trust I

                        Series 1998-4 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of April 9, 1998 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1998-4 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:


<TABLE>
 <S>                                                                                       <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                    $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                       $72,508,095.43

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                                 $8,141,984.26

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                                $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                                  $0.00

 7.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                        $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                                  $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                                    $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                                      $0.00
</TABLE>

<PAGE>   6


<TABLE>
<S>                                                                                            <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                        $3,815,849.06

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                                   $428,484.33

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                                $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                                  $0.00

12.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                        $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                                  $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                                    $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                                      $0.00

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee 
     pursuant to Section 16 of the Series Supplement.
</TABLE>

       IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this 15th day of January, 1999.



                                       GREENWOOD TRUST COMPANY
                                         as Master Servicer

                                       By:
                                          -------------------------
                                       Vice President, Chief Accounting Officer,
                                       and Treasurer


<PAGE>   1




                                                                    EXHIBIT (V)




                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1998-6 Monthly Statement
                   Class A Certificate CUSIP #25466KBY4
                   Class B Certificate CUSIP #25466KBZ1


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of July 30, 1998 relating to the
Pooling and Servicing Agreement dated as of October 1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

1.     Payments for the benefit of Series Investors this Due Period (per $1000 
       -----------------------------------------------------------------------
       of Class Initial Investor Interest) 
       -----------------------------------
<TABLE>
<CAPTION>
       Series  1998-6                                       Total           Interest           Principal
           <S>                                         <C>               <C>                 <C>
           Class A      30 days at 5.850000000%        $4.875000000      $4.875000000        $0.000000000

           Class B      30 days at 6.050000000%        $5.041666667      $5.041666667        $0.000000000
</TABLE>

2.     Principal Receivables at the end of the Due Period
       --------------------------------------------------
<TABLE>
  <S>                                                                                 <C>
  (a)  Aggregate Investor Interest                                                    $18,653,104,342.64
       Seller Interest                                                                 $9,454,017,561.11

       Total Master Trust                                                             $28,107,121,903.75


  (b)  Group One Investor Interest                                                    $16,103,104,342.64

  (c)  Group Two Investor Interest                                                     $2,550,000,000.00

  (d)  Series 1998-6 Investor Interest                                                   $526,316,000.00

  (e)  Class A Investor Interest                                                         $500,000,000.00

       Class B Investor Interest                                                          $26,316,000.00
</TABLE>

3.     Allocation of Receivables Collected During the Due Period
       ---------------------------------------------------------
<TABLE>
<CAPTION>
                                                                   Finance Charge              Principal             Yield
                                                                    Collections               Collections          Collections
  <S>                                                               <C>                     <C>                          <C>
  (a)  Allocation of Collections between Investor and Seller

       Aggregate Investor Allocation                                $305,843,595.24         $2,723,677,162.01            $0.00

       Seller                                                        $85,109,264.76           $757,936,946.60            $0.00
 
  (b)  Group One Allocation                                         $264,320,101.02         $2,353,891,445.90            $0.00

  (c)  Group Two Allocation                                          $41,523,494.22           $369,785,716.11            $0.00

  (d)  Series 1998-6 Allocations                                      $8,570,468.59            $76,323,944.49            $0.00

  (e)  Class A Allocations                                            $8,141,984.26            $72,508,095.43            $0.00

       Class B Allocations                                              $428,484.33             $3,815,849.06            $0.00
</TABLE>


<PAGE>   2

4.     Information Concerning the Series Principal Funding Accounts ("SPFA")
       ---------------------------------------------------------------------
<TABLE>
<CAPTION>
                                               Deposits into the
                                                SPFAs This                  SPFA           Deposit Deficit            Investment
                                                Due Period                 Balance           Amount                    Income
       <S>                                         <C>                     <C>                  <C>                     <C>
       Series 1998-6                               $0.00                   $0.00                0.00                    $0.00
</TABLE>

5.     Information Concerning Amount of Controlled Liquidation Payments
       ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                                             Total Payments
                                                  Amount Paid                 Deficit Amount                 Through This
                                                 This Due Period              This Due Period                 Due Period
       <S>                                             <C>                           <C>                             <C>
       Series 1998-6                                   $0.00                         $0.00                           $0.00
</TABLE>

6.     Information Concerning the Series Interest Funding Accounts ("SIFA")
       --------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                Deposits Into the
                                                                  SIFAs This
                                                                  Due Period                             SIFA Balance
       <S>                                                     <C>                                              <C>
       Series 1998-6                                           $2,570,176.50                                    $0.00
</TABLE>

7.     Pool Factors
       ------------
<TABLE>
<CAPTION>
                                                                                                         This Due Period
       <S>                                                                                                    <C>
       Class A                                                                                                1.00000000

       Class B                                                                                                1.00000000
</TABLE>

8.     Investor Charged-Off Amount
       ---------------------------
<TABLE>
<CAPTION>
                                                                                                          Cumulative
                                                                                                      Investor Charged-Off
                                                                This Due Period                             Amount
  <S>                                                              <C>                                         <C>
  (a)  Group One                                                   $100,357,279.92                             $0.00

  (b)  Group Two                                                    $15,765,675.46                             $0.00

  (c)  Series 1998-6                                                 $3,254,042.78                             $0.00

  (d)  Class A                                                       $3,091,355.48                             $0.00

       Class B                                                         $162,687.30                             $0.00
</TABLE>

9.     Investor Losses This Due Period
       -------------------------------
<TABLE>
<CAPTION>
                                                                                                        Per $1,000 of
                                                                                                       Original Invested
                                                                           Total                         Principal
  <S>                                                                        <C>                             <C>
  (a)  Group One                                                             $0.00                           $0.00

  (b)  Group Two                                                             $0.00                           $0.00

  (c)  Series 1998-6                                                         $0.00                           $0.00

  (d)  Class A                                                               $0.00                           $0.00

       Class B                                                               $0.00                           $0.00
</TABLE>

<PAGE>   3

<TABLE>
<CAPTION>
10.    Reimbursement of Investor Losses This Due Period                                                  Per $1,000 of
       ------------------------------------------------                                                 Original Invested
                                                                              Total                       Principal
  <S>                                                                           <C>                           <C>
  (a)  Group One                                                                $0.00                         $0.00

  (b)  Group Two                                                                $0.00                         $0.00

  (c)  Series 1998-6                                                            $0.00                         $0.00

  (d)  Class A                                                                  $0.00                         $0.00

       Class B                                                                  $0.00                         $0.00
</TABLE>

<TABLE>
<CAPTION>
11.    Aggregate Amount of Unreimbursed Investor Losses                                                  Per $1,000 of
       ------------------------------------------------                                                 Original Invested
                                                                              Total                       Principal
  <S>                                                                           <C>                           <C>
  (a)  Group One                                                                $0.00                         $0.00

  (b)  Group Two                                                                $0.00                         $0.00

  (c)  Series 1998-6                                                            $0.00                         $0.00

  (d)  Class A                                                                  $0.00                         $0.00

       Class B                                                                  $0.00                         $0.00
</TABLE>

12.    Investor Monthly Servicing Fee Payable at the end of the Due Period
       -------------------------------------------------------------------
<TABLE>
  <S>                                                                                                 <C>
  (a)  Group One                                                                                      $27,053,785.01

  (b)  Group Two                                                                                       $4,250,000.00

  (c)  Series 1998-6                                                                                     $877,193.33

  (d)  Class A                                                                                           $833,333.33

       Class B                                                                                            $43,860.00
</TABLE>

13.    Class Available Subordinated Amount at the end of the Due Period
       ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                                         As a Percentage
                                                                                                           of Class A
                                                                                  Total                  Invested Amount
       <S>                                                                    <C>                           <C>
       Series 1998-6 Class B                                                  $44,736,860.00                8.9474%
</TABLE>

14.    Total Available Credit Enhancement Amounts
       ------------------------------------------
<TABLE>
<CAPTION>
                                                                           Shared Amount               Class B Amount
       <S>                                                                          <C>                  <C>
       Maximum Amount                                                               $0.00                $21,052,640.00

       Available Amount                                                             $0.00                $21,052,640.00

       Amount of Drawings on Credit Enhancement
         for this Due Period                                                        $0.00                         $0.00
</TABLE>


<PAGE>   4


15.    Delinquency Summary
       -------------------

       End of Due Period Master Trust Receivables Outstanding $28,518,361,329.71

<TABLE>
<CAPTION>
                                                Delinquent Amount                       Percentage of Ending
       Payment Status                           Ending Balance                          Receivables Outstanding
       <S>                                   <C>                                             <C>
       30-59 days                              $808,568,403.91                               2.84%

       60-179 days                           $1,201,933,922.02                               4.21%
</TABLE>


                                                U.S. BANK NATIONAL ASSOCIATION
                                                as Trustee


                                            BY:
                                                ----------------------------

                                                      Vice President


<PAGE>   5


                    MASTER SERVICER'S CERTIFICATE STATEMENT

                          Discover Card Master Trust I

                        Series 1998-6 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of July 30, 1998 (the "Series Supplement") by
and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1998-6 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
 <S>                                                                                      <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                   $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                      $72,508,095.43

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                                $8,141,984.26

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                               $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                                 $0.00

 7.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                       $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                                 $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                                   $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                            $13,406,250.00
</TABLE>

<PAGE>   6

<TABLE>
<S>                                                                                               <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                           $3,815,849.06

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                                      $428,484.33

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                                   $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                                     $0.00

12.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                           $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                                     $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                                       $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                                   $729,720.75

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee 
     pursuant to Section 16 of the Series Supplement.
</TABLE>

       IN WITNESS WHEREOF, the undersigned has duly executed and delivered
 certificate this 15th day of January, 1999.



                                     GREENWOOD TRUST COMPANY
                                       as Master Servicer

                                     By:
                                        -------------------------
                                     Vice President, Chief Accounting Officer,
                                     and Treasurer




<PAGE>   1


                                                                     EXHIBIT (W)





                    MONTHLY CERTIFICATEHOLDERS' STATEMENT
                        Discover Card Master Trust I
                       Series 1998-7 Monthly Statement
                   Class A Certificate CUSIP #25466KCA5
                   Class B Certificate CUSIP #25466KCB3


Trust Distribution Date: January 15, 1999   Due Period Ending: December 31, 1998

Pursuant to the Series Supplement dated as of November 12, 1998 relating to the
Pooling and Servicing Agreement dated as of October 1, 1993 by and between
Greenwood Trust Company and U.S. Bank National Association, as Trustee, the
Trustee is required to prepare certain information each month regarding current
distributions to Certificateholders and the performances of the Trust.  The
information for the Due Period and the Trust Distribution Date listed above is
set forth below:

1.     Payments for the benefit of Series Investors this Due Period (per $1000 
       -----------------------------------------------------------------------
       of Class Initial Investor Interest) 
       -----------------------------------
<TABLE>
<CAPTION>
       Series  1998-7                                      Total          Interest             Principal
           <S>                                        <C>               <C>                  <C>
           Class A      30 days at 5.600000000%       $4.666666667      $4.666666667         $0.000000000

           Class B      30 days at 5.900000000%       $4.916666667      $4.916666667         $0.000000000
</TABLE>

2.     Principal Receivables at the end of the Due Period
       --------------------------------------------------
<TABLE>
  <S>                                                                                <C>
  (a)  Aggregate Investor Interest                                                   $18,653,104,342.64
       Seller Interest                                                                $9,454,017,561.11

       Total Master Trust                                                            $28,107,121,903.75


  (b)  Group One Investor Interest                                                   $16,103,104,342.64

  (c)  Group Two Investor Interest                                                    $2,550,000,000.00

  (d)  Series 1998-7 Investor Interest                                                $1,052,632,000.00

  (e)  Class A Investor Interest                                                      $1,000,000,000.00

       Class B Investor Interest                                                         $52,632,000.00
</TABLE>

3.     Allocation of Receivables Collected During the Due Period
       ---------------------------------------------------------
<TABLE>
<CAPTION>
                                                                   Finance Charge             Principal              Yield
                                                                    Collections              Collections           Collections
  <S>                                                             <C>                      <C>                          <C>
  (a)  Allocation of Collections between Investor and Seller

       Aggregate Investor Allocation                              $305,843,595.24          $2,723,677,162.01            $0.00

       Seller                                                      $85,109,264.76            $757,936,946.60            $0.00
 
  (b)  Group One Allocation                                       $264,320,101.02          $2,353,891,445.90            $0.00

  (c)  Group Two Allocation                                        $41,523,494.22            $369,785,716.11            $0.00

  (d)  Series 1998-7 Allocations                                   $17,140,546.24            $152,644,407.37            $0.00

  (e)  Class A Allocations                                         $16,283,577.57            $145,012,709.24            $0.00

       Class B Allocations                                            $856,968.67              $7,631,698.13            $0.00
</TABLE>


<PAGE>   2


4.     Information Concerning the Series Principal Funding Accounts ("SPFA")
       ---------------------------------------------------------------------
<TABLE>
<CAPTION>
                                         Deposits into the
                                          SPFAs This                  SPFA            Deposit Deficit             Investment
                                          Due Period                 Balance            Amount                     Income
       <S>                                   <C>                     <C>                   <C>                      <C>
       Series 1998-7                         $0.00                   $0.00                 0.00                     $0.00
</TABLE>

5.     Information Concerning Amount of Controlled Liquidation Payments
       ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                                             Total Payments
                                                         Amount Paid               Deficit Amount            Through This
                                                        This Due Period            This Due Period            Due Period
       <S>                                                    <C>                         <C>                        <C>
       Series 1998-7                                          $0.00                       $0.00                      $0.00
</TABLE>

6.     Information Concerning the Series Interest Funding Accounts ("SIFA")
       --------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                       Deposits Into the
                                                                         SIFAs This
                                                                         Due Period                         SIFA Balance
       <S>                                                            <C>                                 <C>
       Series 1998-7                                                  $4,925,440.67                       $10,343,425.40
</TABLE>

7.     Pool Factors
       ------------
<TABLE>
<CAPTION>
                                                                                                    This Due Period
       <S>                                                                                               <C>
       Class A                                                                                           1.00000000

       Class B                                                                                           1.00000000
</TABLE>

8.     Investor Charged-Off Amount
       ---------------------------
<TABLE>
<CAPTION>
                                                                                                        Cumulative
                                                                                                    Investor Charged-Off
                                                                   This Due Period                        Amount
  <S>                                                                <C>                                     <C>
  (a)  Group One                                                     $100,357,279.92                         $0.00

  (b)  Group Two                                                      $15,765,675.46                         $0.00

  (c)  Series 1998-7                                                   $6,507,937.12                         $0.00

  (d)  Class A                                                         $6,182,562.53                         $0.00

       Class B                                                           $325,374.59                         $0.00
</TABLE>

9.     Investor Losses This Due Period
       -------------------------------
<TABLE>
<CAPTION>
                                                                                                      Per $1,000 of
                                                                                                     Original Invested
                                                                             Total                     Principal
  <S>                                                                          <C>                         <C>
  (a)  Group One                                                               $0.00                       $0.00

  (b)  Group Two                                                               $0.00                       $0.00

  (c)  Series 1998-7                                                           $0.00                       $0.00

  (d)  Class A                                                                 $0.00                       $0.00

       Class B                                                                 $0.00                       $0.00
</TABLE>

<PAGE>   3


<TABLE>
<CAPTION>
10.    Reimbursement of Investor Losses This Due Period                                              Per $1,000 of
       ------------------------------------------------                                             Original Invested
                                                                             Total                    Principal
  <S>                                                                          <C>                        <C>
  (a)  Group One                                                               $0.00                      $0.00

  (b)  Group Two                                                               $0.00                      $0.00

  (c)  Series 1998-7                                                           $0.00                      $0.00

  (d)  Class A                                                                 $0.00                      $0.00

       Class B                                                                 $0.00                      $0.00
</TABLE>

<TABLE>
<CAPTION>
11.    Aggregate Amount of Unreimbursed Investor Losses                                              Per $1,000 of
       ------------------------------------------------                                             Original Invested
                                                                             Total                    Principal
  <S>                                                                          <C>                        <C>
  (a)  Group One                                                               $0.00                      $0.00

  (b)  Group Two                                                               $0.00                      $0.00

  (c)  Series 1998-7                                                           $0.00                      $0.00

  (d)  Class A                                                                 $0.00                      $0.00

       Class B                                                                 $0.00                      $0.00
</TABLE>

12.    Investor Monthly Servicing Fee Payable at the end of the Due Period
       -------------------------------------------------------------------
<TABLE>
  <S>                                                                                               <C>
  (a)  Group One                                                                                    $27,053,785.01

  (b)  Group Two                                                                                     $4,250,000.00

  (c)  Series 1998-7                                                                                 $1,754,386.67

  (d)  Class A                                                                                       $1,666,666.67

       Class B                                                                                          $87,720.00
</TABLE>

13.    Class Available Subordinated Amount at the end of the Due Period
       ----------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                                                   As a Percentage
                                                                                                     of Class A
                                                                            Total                  Invested Amount
       <S>                                                                  <C>                       <C>
       Series 1998-7 Class B                                                $89,473,720.00            8.9474%
</TABLE>

14.    Total Available Credit Enhancement Amounts
       ------------------------------------------
<TABLE>
<CAPTION>
                                                                           Shared Amount             Class B Amount
       <S>                                                                       <C>                <C>
       Maximum Amount                                                            $0.00              $42,105,280.00

       Available Amount                                                          $0.00              $42,105,280.00

       Amount of Drawings on Credit Enhancement
         for this Due Period                                                     $0.00                       $0.00
</TABLE>


<PAGE>   4


15.    Delinquency Summary
       -------------------

       End of Due Period Master Trust Receivables Outstanding $28,518,361,329.71
<TABLE>
<CAPTION>
                                                   Delinquent Amount                     Percentage of Ending
       Payment Status                              Ending Balance                        Receivables Outstanding
       <S>                                      <C>                                           <C>
       30-59 days                                 $808,568,403.91                             2.84%

       60-179 days                              $1,201,933,922.02                             4.21%
</TABLE>

                                                 U.S. BANK NATIONAL ASSOCIATION
                                                 as Trustee


                                              BY:
                                                  ----------------------------

                                                        Vice President

<PAGE>   5


                    MASTER SERVICER'S CERTIFICATE STATEMENT

                              Discover Card Master Trust I

                            Series 1998-7 Monthly Statement

                                  CREDIT CARD
                           PASS-THROUGH CERTIFICATES

     The undersigned, a duly authorized representative of Greenwood Trust
Company ("Greenwood"), as Master Servicer pursuant to the Pooling & Servicing
Agreement dated as of October 1, 1993 (the"Pooling & Servicing Agreement") and
the Series Supplement, dated as of November 12, 1998 (the "Series Supplement")
by and between Greenwood and U.S. Bank National Association, as Trustee, does
hereby certify as follows with respect to the Supplement Discover Card Master
Trust I, Series 1998-7 Master Trust Certificates for the Distribution Date
occurring on January 15, 1999:

<TABLE>
 <S>                                                                                    <C>
 1.  Greenwood is Master Servicer under the Pooling and Servicing Agreement.

 2.  The undersigned is a Servicing Officer of Greenwood as Master Servicer.

 3.  The aggregate amount of Collections processed during the related Due
     Period is equal to                                                                 $3,872,566,968.60

 4.  The aggregate amount of Class A Principal Collections processed during
     the related Due Period is equal to                                                   $145,012,709.24

 5.  The aggregate amount of Class A Finance Charge Collections processed
     during the related Due Period is equal to                                             $16,283,577.57

 6a. The aggregate amount of Class A Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                             $0.00

 6b. The aggregate amount of Class A Additional Funds for this Distribution
     date is equal to                                                                               $0.00

 7.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class A Required Amount Shortfall                                     $0.00
          is equal to

     (b)  with respect to the Class A Cumulative Investor Charged-Off                               $0.00
          Amount is equal to

     (c)  with respect to the Class A Investor Interest is equal to                                 $0.00

 8.  The sum of all amounts payable to the Class A Certificateholders
     on the current Distribution Date is equal to                                                   $0.00
</TABLE>

<PAGE>   6

<TABLE>
<S>                                                                                          <C>
 9.  The aggregate amount of Class B Principal Collections processed during
     the related Due Period is equal to                                                      $7,631,698.13

10.  The aggregate amount of Class B Finance Charge Collections processed
     during the related Due Period is equal to                                                 $856,968.67

11a. The aggregate amount of Class B Principal Collections recharacterized as
     Series Yield Collections during the related Due Period is equal to                              $0.00

11b. The aggregate amount of Class B Additional Funds for this Distribution
     date is equal to                                                                                $0.00

12.  The amount of drawings under the Credit Enhancement required to be
     made on the related Drawing Date pursuant to the Series Supplement:

     (a)  with respect to the Class B Required Amount Shortfall                                      $0.00
          is equal to

     (b)  with respect to the Class B Cumulative Investor Charged-Off                                $0.00
          Amount is equal to

     (c)  with respect to the Class B Investor Interest is equal to                                  $0.00

13.  The sum of all amounts payable to the Class B Certificateholders
     on the current Distribution Date is equal to                                                    $0.00

14.  Attached hereto is a true copy of the statement required to be delivered by
     the Master Servicer on the date of this Certificate to the Trustee 
     pursuant to Section 16 of the Series Supplement.
</TABLE>

       IN WITNESS WHEREOF, the undersigned has duly executed and delivered
certificate this 15th day of January, 1999.



                                      GREENWOOD TRUST COMPANY
                                           as Master Servicer

                                      By:
                                         -------------------------
                                      Vice President, Chief Accounting Officer,
                                      and Treasurer





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