分段解析函数的多点逼近收敛速度的下界

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2021-01-01 DOI:10.1070/IM9047

V. Buslaev

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引用次数: 0

摘要

我们得到了从紧集全纯可拓到边界具有对称性的域的并的函数的多点pad近似收敛速度的下界。所得的边界与相同数量的已知上界相匹配。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions

We obtain a lower bound for the rate of convergence of multipoint Padé approximants of functions holomorphically extendable from a compact set to a union of domains whose boundaries possess a symmetry property. The bound obtained matches a known upper bound for the same quantity.

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.