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.
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页码：233 / 240
页数：8
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