A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle

被引：4

作者：

Castillo, Kenier ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 06期

关键词：

Sobolev inner product; Orthogonal polynomials on the unit circle; Nevai-Blumenthal class; Relative asymptotic;

D O I：

10.1016/j.aml.2011.11.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In Foulquie et al. (1999) [2], Li and Marcellan (1996) [4], Marcellan and Moral (2002) [5], the relative asymptotic behavior of orthogonal polynomials with respect to a discrete Sobolev-type inner product on the unit circle was studied. In this paper, we propose an alternative approach to this problem based on the Uvarov spectral transformation. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1000 / 1004

页数：5

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