Approximation of functions by linear summation methods in the Orlicz type spaces-Reference-Cited by-同舟云学术

Approximation of functions by linear summation methods in the Orlicz type spaces

Published:2020-06-22 Issue:2 Volume:17 Page:152-170
ISSN:1810-3200
Container-title:Ukrainian Mathematical Bulletin
language:uk
Short-container-title:UMB

Author:

Chaichenko Stanislav¹,Savchuk Viktor²,Shidlich Andrii²

Affiliation:

1. Donbas State Pedagogical University,\\ Sloviansk, Ukraine

2. Institute of Mathematics of the NAS of Ukraine, Kyiv, Ukraine

Abstract

Approximative properties of linear summation methods of Fourier series are considered in the Orlicz type spaces S_M. In particular, in terms of approximations by such methods, constructive characteristics are obtained for classes of functions whose moduli of smoothness do not exceed a certain majorant.

Publisher

Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

Reference20 articles.

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