This article is cited in 6 papers

Best linear approximation methods for some classes of analytic functions on the unit disk

M. Sh. Shabozov^ab, M. R. Langarshoev<sup>b

a</sup> University of Central Asia
^b Tajik National University, Dushanbe

Abstract: 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.

UDC: 517.5

Received: 09.01.2017
Revised: 31.05.2019
Accepted: 24.07.2019

DOI: 10.33048/smzh.2019.60.618

 English version: Siberian Mathematical Journal, 2019, 60:6, 1101–1108

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