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

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2020-04-21 DOI:10.7153/mia-2021-24-23

F. Abdullayev, S. Chaichenko, A. Shidlich

引用次数: 8

Abstract

In Musilak-Orlicz type spaces ${\mathcal S}_{\bf M}$, direct and inverse approximation theorems are obtained in terms of the best approximations of functions and generalized moduli of smoothness. The question of the exact constants in Jackson-type inequalities is studied.

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Musielak-Orlicz型空间中函数的正逼近和逆逼近定理

在Musilak-Orlicz型空间$｛\mathcal S｝_｛\bf M｝$中，根据函数的最佳逼近和广义光滑模，得到了直接和逆逼近定理。研究了Jackson型不等式中的精确常数问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.