Weighted variable exponent grand Lebesgue spaces and inequalities of approximation

Year 2021, Volume: 50 Issue: 1, 199 - 215, 04.02.2021

İsmail Aydın , Ramazan Akgün

https://doi.org/10.15672/hujms.683997

Abstract

In this paper we discuss and investigate trigonometric approximation in weighted grand variable exponent Lebesgue spaces. We also prove the direct and inverse theorems in these spaces.

Keywords

weighted grand variable exponent Lebesgue, Sobolev and Lipschitz space, maximal operator, modulus of smoothness, best approximation, Jackson and inverse theorems, K-functional

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