On normal pointsystems of Hermite-Fejer interpolation of arbitrary order

doi:10.1006/jath.2001.3590

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	On normal pointsystems of Hermite-Fejer interpolation of arbitrary order
	Shi, YG
	2001-09-01
发表期刊	JOURNAL OF APPROXIMATION THEORY
ISSN	0021-9045
卷号	112 期号:1 页码:44-60
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.
DOI	10.1006/jath.2001.3590
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000171672700004
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16702
专题	中国科学院数学与系统科学研究院
通讯作者	Shi, YG
作者单位	1.Hunan Normal Univ, Dept Math, Changsha, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Shi, YG. On normal pointsystems of Hermite-Fejer interpolation of arbitrary order[J]. JOURNAL OF APPROXIMATION THEORY,2001,112(1):44-60.
APA	Shi, YG.(2001).On normal pointsystems of Hermite-Fejer interpolation of arbitrary order.JOURNAL OF APPROXIMATION THEORY,112(1),44-60.
MLA	Shi, YG."On normal pointsystems of Hermite-Fejer interpolation of arbitrary order".JOURNAL OF APPROXIMATION THEORY 112.1(2001):44-60.