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

被引：0

作者：

M. Sh. Shabozov

M. R. Langarshoev

机构：

[1] University of Central Asia,

[2] Tajik National University,undefined

[3] Tajik National University,undefined

来源：

Siberian Mathematical Journal | 2019年 / 60卷

关键词：

best linear approximation methods; modulus of continuity; weighted Bergman space; majorant; -widths; best coding method;

D O I：

暂无

中图分类号：

学科分类号：

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：7

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