Weak convergence of varying measures and Hermite-Pade orthogonal polynomials

被引：10

作者：

Ysern, BD ^{[1
]}

Lagomasino, GL

机构：

[1] Univ Politecn Madrid, ETS Ingn Ind, E-28040 Madrid, Spain

[2] Univ Carlos III Madrid, Escuela Politecn Super, E-28903 Getafe, Spain

来源：

CONSTRUCTIVE APPROXIMATION | 1999年 / 15卷 / 04期

关键词：

orthogonal polynomials; varying measures; weak convergence; Nikishin system;

D O I：

10.1007/s003659900122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that the common denominator of the Hermite-Pade approximants of a mixed Angelesco-Nikishin system shares orthogonality relations with respect to each function in the system. It is less well known that they also satisfy full orthogonality with respect to a varying measure. This problem motivates our interest in extending the class of varying measures with respect to which weak asymptotics of orthogonal polynomials takes place. In particular, for the case of a Nikishin system, we prove weak asymptotics of the corresponding varying measures.

引用

页码：553 / 575

页数：23

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