Direct and inverse approximation theorems of functions in the Orlicz type spaces 𝓢M-Reference-Cited by-同舟云学术

Direct and inverse approximation theorems of functions in the Orlicz type spaces 𝓢M

Published:2019-12-18 Issue:6 Volume:69 Page:1367-1380
ISSN:0139-9918
Container-title:Mathematica Slovaca
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Author:

Chaichenko Stanislav,Shidlich Andrii,Abdullayev Fahreddin

Abstract

Abstract In the Orlicz type spaces 𝓢M, we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fractional order. We also show the equivalence between moduli of smoothness and Peetre K-functionals in the spaces 𝓢M.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0314/pdf

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