Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces
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DOI:
https://doi.org/10.15330/cmp.13.3.687-700Keywords:
direct approximation theorem, inverse approximation theorem, Jackson type inequality, generalized module of smoothness, almost periodic functionAbstract
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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2021-12-11
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(1)
Serdyuk, A.; Shidlich, A. Direct and Inverse Theorems on the Approximation of Almost Periodic Functions in Besicovitch-Stepanets Spaces: Array. Carpathian Math. Publ. 2021, 13, 687-700.
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Scientific articles