On hermite interpolation

被引：16

作者：

Shi, YG ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha, Hunan, Peoples R China

来源：

JOURNAL OF APPROXIMATION THEORY | 2000年 / 105卷 / 01期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1006/jath.2000.3459

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

More general and stronger estimations of bounds for the fundamental functions of Hermite interpolation of higher order on an arbitrary system of nodes are given. Based on this result conditions for convergence of Hermite interpolation and Hermite-Fejer-type interpolation on an arbitrary system of nodes as well as Grunwald type theorems are essentially simplified and improved. (C) 2000 Academic Press.

引用

页码：49 / 86

页数：38

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