SIMULTANEOUS APPROXIMATION BY HERMITE INTERPOLATION OF HIGHER-ORDER

被引：3

作者：

DELLAVECCHIA, B

MASTROIANNI, G

VERTESI, P

机构：

[1] CNR, IST APPLICAZ MATEMAT, I-80131 NAPLES, ITALY

[2] UNIV BASILICATA, IST MATEMAT, I-85100 POTENZA, ITALY

[3] HUNGARIAN ACAD SCI, INST MATH, H-1364 BUDAPEST, HUNGARY

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 50卷 / 1-3期

关键词：

HERMITE INTERPOLATION; JACOBI POLYNOMIALS; UNIFORM CONVERGENCE;

D O I：

10.1016/0377-0427(94)90303-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors consider a procedure of Hermite interpolation of higher order based on the zeros of Jacobi polynomials plus the endpoints +/- 1 and prove that such a procedure can always well approximate a function and its derivatives simultaneously in uniform norm.

引用

页码：233 / 240

页数：8

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