Direct and inverse approximation theorems in the Besicovitch – Musielak – Orlicz spaces of almost periodic functions

UDC 517.5 In terms of the best approximations of functions and generalized moduli of smoothness, direct and inverse approximation theorems are proved for Besicovitch almost periodic functions whose Fourier exponent sequences have a single limit point in infinity and their Orlicz norms are finite. Sp...

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Bibliographic Details
Date:2022
Main Authors: Chaichenko , S. O., Shidlich, A. L., Shulyk, T. V., Shidlich, Andrii
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2022
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7045
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal