Optimal Recovery of an Analytic Function in a Doubly Connected Domain from Its Approximately Given Boundary Values

被引：1

作者：

Akopyan, R. R. ^{[1
,2
]}

机构：

[1] Natl Res Nucl Univ MEPhI, Ozersk Inst Technol, Ozersk 456783, Russia

[2] Ural Fed Univ, Ekaterinburg 620000, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2017年 / 296卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

optimal recovery; analytic functions; doubly connected domain;

D O I：

10.1134/S008154381702002X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the problem of optimal recovery of a function analytic in a doubly connected domain from its approximately given values on one of the two components of the boundary. An optimal recovery method is obtained in the case when the error is an integer power of the modulus of the doubly connected domain.

引用

页码：S13 / S18

页数：6

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