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math.CA2021
Direct and inverse approximation theorems in the Besicovitch-Museilak-Orlicz spaces of almost periodic functions
Stanislav Chaichenko, Andrii Shidlich, Tetiana Shulyk
In terms of the best approximations of functions and generalized moduli of smoothness, direct and inverse approximation theorems are proved for Besicovitch almost periodic function…
math.CA2021
Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces
Anatolii Serdyuk, Andrii Shidlich
Direct and inverse approximation theorems are proved in the Besicovitch-Stepanets spaces of almost periodic functions in terms of the best approximations of fun…
math.FA2021★ 2 cited
Problems of approximation theory in abstract linear spaces
Anatolii S. Serdyuk, Andrii L. Shidlich
This review paper presents the results, which cover the study of current problems of approximation theory in abstract linear spaces. Such research has been actively developed since…