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arXiv · 2105.06796

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

Anatolii Serdyuk·Andrii Shidlich
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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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Anatolii Serdyuk, Andrii Shidlich. 2021-05-14. Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces. https://doi.org/10.15330/cmp.13.3.687-700

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