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.
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页码：529 / 554
页数：26
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