OPTIMAL ERROR-BOUNDS FOR THE DERIVATIVES OF 2 POINT HERMITE INTERPOLATION

被引：7

作者：

AGARWAL, RP

WONG, PJY

机构：

[1] Department of Mathematics, National University of Singapore Kent Ridge, Singapore

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1991年 / 21卷 / 08期

关键词：

D O I：

10.1016/0898-1221(91)90048-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the derivatives of the Hermite polynomial interpolation of a function on the interval [a, b] we obtain best possible uniform error estimates. For this, a new representation for the error function is developed.

引用

页码：21 / 35

页数：15

共 10 条

[1]

Agarwal R.P., 1986, BOUND VALUE PROBL

[2]

AGARWAL RP, IN PRESS NONLINEAR A

[3]

AGARWAL RP, 1983, INT SER NUMER MATH, V64, P371

[4]

[Anonymous], 1973, SPLINE ANAL

[5] HERMITE INTERPOLATION ERRORS FOR DERIVATIVES [J].

BIRKHOFF, G ;

PRIVER, A .

JOURNAL OF MATHEMATICS AND PHYSICS, 1967, 46 (04) :440-&

[6] NUMERICAL METHODS OF HIGH-ORDER ACCURACY FOR NONLINEAR BOUNDARY VALUE PROBLEMS .I. 1 DIMENSIONAL PROBLEM [J].

CIARLET, PG ;

SCHULTZ, MH ;

VARGA, RS .

NUMERISCHE MATHEMATIK, 1967, 9 (05) :394-&

[7]

Hall CA., 1968, J APPROX THEORY, V1, P209, DOI [10.1016/0021-9045(68)90025-7, DOI 10.1016/0021-9045(68)90025-7]

[8] BEST ERROR-BOUNDS FOR DERIVATIVES IN 2 POINT BIRKHOFF INTERPOLATION PROBLEMS [J].

VARMA, AK ;

HOWELL, G .

JOURNAL OF APPROXIMATION THEORY, 1983, 38 (03) :258-268

[9] OPTIMAL ERROR-BOUNDS FOR HERMITE INTERPOLATION [J].

VARMA, AK ;

KATSIFARAKIS, KL .

JOURNAL OF APPROXIMATION THEORY, 1987, 51 (04) :350-359

[10] EXPLICIT ERROR-ESTIMATES FOR QUINTIC AND BIQUINTIC SPLINE INTERPOLATION [J].

WONG, PJY ;

AGARWAL, RP .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1989, 18 (08) :701-722

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