Optimal Recovery of a Derivative of an Analytic Function from Values of the Function Given with an Error on a Part of the Boundary

被引：0

作者：

R. R. Akopyan

机构：

[1] Ural Federal University,Institute of Natural Sciences and Mathematics

[2] Ural Branch of the Russian Academy of Sciences,Krasovskii Institute of Mathematics and Mechanics

来源：

Analysis Mathematica | 2018年 / 44卷

关键词：

best approximation of an unbounded functional by bounded functionals; optimal recovery of a functional; analytic function; 30A10; 30C80; 30C85; 30E10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study several related extremal problems for functions analytic in a simply connected domain G with a rectifiable Jordan boundary Γ, in particular, the problem of optimal recovery of the derivative at a point z0 ∈ G from limit boundary values given with an error on a measurable part γ1 of the boundary Γ for the class Q of functions with limit boundary values bounded by 1 on γ0 = Γ\γ1 as well as the problem of the best approximation of the derivative at a point z0 ∈ G by bounded linear functionals in L∞ (γ1) on the class Q.

引用

页码：3 / 19

页数：16

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