Open AccessDirect and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces
Author(s) -
A. S. Serdyuk,
Andrii Shidlich
Publication year - 2021
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.13.3.687-700
Subject(s) - mathematics , inverse , smoothness , periodic function , pure mathematics , inverse function , moduli , mathematical analysis , discrete mathematics , physics , geometry , quantum mechanics
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.