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).
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页码：525 / 556
页数：32
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