On exact rate of convergence of row sequences of multipoint Hermite-Pade approximants

被引：0
|
作者：
Bosuwan, Nattapong [1 ,2 ]
机构：
[1] Mahidol Univ, Fac Sci, Dept Math, Rama VI Rd, Bangkok 10400, Thailand
[2] CHE, Ctr Excellence Math, Si Ayutthaya Rd, Bangkok 10400, Thailand
来源：
DEMONSTRATIO MATHEMATICA | 2024年 / 57卷 / 01期
关键词：
Montessus de Ballore's theorem; multipoint Pade approximation; Hermite-Pade approximation; simultaneous approximation; rate of convergence;
D O I：
10.1515/dema-2023-0140
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we analyze a rate of attraction of poles of an approximated function to poles of incomplete multipoint Pade approximants and use it to derive a sharp bound on the geometric rate of convergence of multipoint Hermite-Pade approximants to a vector of approximated functions in the Montessus de Ballore theorem when a table of interpolation points is Newtonian.
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页数：13
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