On Sobolev orthogonal polynomials

被引：105

作者：

Marcellan, Francisco ^{[1
,2
]}

Xu, Yuan ^{[3
]}

机构：

[1] Univ Carlos III Madrid, Inst Ciencias Matemat ICMAT, Leganes 28911, Spain

[2] Univ Carlos III Madrid, Dept Matemat, Leganes 28911, Spain

[3] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

EXPOSITIONES MATHEMATICAE | 2015年 / 33卷 / 03期

基金：

美国国家科学基金会;

关键词：

Orthogonal polynomials; Sobolev orthogonal polynomials; Approximation by polynomials;

D O I：

10.1016/j.exmath.2014.10.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sobolev orthogonal polynomials have been studied extensively in the past quarter-century. The research in this field has sprawled into several directions and generates a plethora of publications. This paper contains a survey of the main developments up to now. The goal is to identify main ideas and developments in the field, which hopefully will lend a structure to the mountainous publications and help future research. (C) 2014 Elsevier GmbH. All rights reserved.

引用

页码：308 / 352

页数：45

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