On normal pointsystems of Hermite-Fejer interpolation of arbitrary order

被引：0
作者：
Shi, YG
机构：
[1] Hunan Normal Univ, Dept Math, Changsha, Hunan, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
来源：
JOURNAL OF APPROXIMATION THEORY | 2001年 / 112卷 / 01期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1006/jath.2001.3590
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary conditions of normal pointsystems for Hermite Fejer interpolation of arbitrary (even) order are given. In particular, one of the main results in this paper is: If a pointsystem consists of the zeros of orthogonal polynomials with respect to a weight w on [-1, 1] and is always normal for Hermite-Fejer interpolation of arbitrary (even) order, then w(x) similar to ( 1- x(2))(-1/2). (C) 2001 Academic Press.
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页码：44 / 60
页数：17
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