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

Сибирский математический журнал

article

M. Sh. Shabozov¹  M. R. Langarshoev¹ 

[1] University of Central Asia, Tajik National University

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

DOI  :  10.1134/S0037446619060181

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 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.

【 授权许可】

CC BY