Best Linear Approximation Methods for Some Classes of Analytic Functions on the Unit Disk

被引：3

作者：

Shabozov, M. Sh. ^{[1
]}

Langarshoev, M. R. ^{[2
]}

机构：

[1] Tajik Natl Univ, Univ Cent Asia, Dushanbe, Tajikistan

[2] Tajik Natl Univ, Dushanbe, Tajikistan

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2019年 / 60卷 / 06期

关键词：

best linear approximation methods; modulus of continuity; weighted Bergman space; majorant; n-widths; best coding method; EXACT VALUES; WIDTHS; BALL;

D O I：

10.1134/S0037446619060181

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considering Banach Hardy spaces and weighted Bergman spaces, we find the sharp values of the Bernstein, Kolmogorov, Gelfand, and linear n-widths for the classes of analytic functions on the unit disk whose moduli of continuity of the rth derivatives averaged with weight are majorized by a given function satisfying some constraints.

引用

页码：1101 / 1108

页数：8

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