Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces

2021/05/14 by A. S. Serdyuk, Serdyuk, Anatolii, Andrii Shidlich +1
Mathematics · #Approximation Theory and Sequence Spaces #Mathematical Approximation and Integration #Mathematical Analysis and Transform Methods

paper · doi:10.48550/arxiv.2105.06796

Abstract

Direct and inverse approximation theorems are proved in the Besicovitch-Stepanets spaces B\mathcal S^p of almost periodic functions in terms of the best approximations of functions and their generalized moduli of smoothness.

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