Inverse Theorem on Row Sequences of Linear Pade-orthogonal Approximation

被引：12

作者：

Bosuwan, N. ^{[1
,2
]}

Lopez Lagomasino, G. ^{[3
]}

机构：

[1] Mahidol Univ, Fac Sci, Dept Math, Bangkok 10400, Thailand

[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

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

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2015年 / 15卷 / 04期

关键词：

Pade approximation; Pade-orthogonal approximation; Orthogonal polynomials; Fourier-Pade approximation; Inverse problems; POLYNOMIALS; ASYMPTOTICS; CONVERGENCE; MEROMORPHY; DOMAINS; RATIO; ARC;

D O I：

10.1007/s40315-015-0121-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give necessary and sufficient conditions for the convergence with geometric rate of the denominators of linear Pade-orthogonal approximants corresponding to a measure supported on a general compact set in the complex plane. Thereby, we obtain an analog of Gonchar's theorem on row sequences of Pade approximants.

引用

页码：529 / 554

页数：26

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