Asymptotic properties of Sobolev orthogonal polynomials

被引：26

作者：

Martinez-Finkelshtein, A ^{[1
]}

机构：

[1] Univ Almeria, Dept Estad & Mat Apl, Almeria 04120, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 99卷 / 1-2期

关键词：

D O I：

10.1016/S0377-0427(98)00179-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this report we will survey some of the main ideas and tools which appeared recently in the study of the analytic properties of polynomials orthogonal with respect to inner products involving derivatives. Although some results on weak asymptotics are mentioned, the strong outer asymptotics constitutes the core of the paper. Both the discrete and the continuous cases are considered, and several open problems and conjectures are posed. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：491 / 510

页数：20

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