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

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

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