Convergence of Row Sequences of Simultaneous Pade-orthogonal Approximants

被引：7

作者：

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

机构：

[1] Mahidol Univ, Fac Sci, Dept Math, Rama 6 Rd, Bangkok 10400, Thailand

[2] CHE, Ctr Excellence Math, Si Ayutthaya Rd, Bangkok 10400, Thailand

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2017年 / 17卷 / 03期

关键词：

Montessus de Ballore's theorem; Frobenius-Pade approximants of orthogonal expansions; Pade-orthogonal approximants; Fourier-Pade approximants; Simultaneous Pade approximants; Orthogonal polynomials; Hermite-Pade approximants; POLYNOMIALS; ASYMPTOTICS; DOMAINS;

D O I：

10.1007/s40315-017-0190-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, convergence theorems of row sequences of vector valued Pade-orthogonal approximants (simultaneous Pade-orthogonal approximants) corresponding to a measure supported on a general compact subset of the complex plane are proved. These theorems are natural extensions of Montessus de Ballore's theorem for row sequences of (scalar) Pade-orthogonal approximants in Bosuwan et al. (Jaen J Approx 5:179-208, 2013).

引用

页码：525 / 556

页数：32

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