Strong asymptotics of orthogonal polynomials with varying measures and Hermite-Pade approximants

被引：0

作者：

Ysern, BD

Lagomasino, GL

机构：

[1] Univ Politecn Madrid, ETS Ingn Ind, E-28006 Madrid, Spain

[2] Univ Carlos III Madrid, Escuela Politecn Superior, Leganes 28911, Spain

来源：

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

关键词：

orthogonal polynomials; varying measures; Szego theory; Nikishin system;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The strong asymptotic behaviour of orthogonal polynomials with respect to a general class of varying measures is given for the case of the unit circle and the real line. These results are used to obtain certain asymptotic relations for the polynomials involved in the construction of Hermite-Pade approximants of a Nikishin system of functions. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：91 / 103

页数：13

共 8 条

[1] HERMITE-PADE APPROXIMATION FOR NIKISHIN SYSTEMS OF ANALYTIC-FUNCTIONS [J].