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

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.

References in corpus (1)

• Problems of approximation theory in abstract linear spaces

Cited by in corpus (2)

• Direct and inverse approximation theorems in the Besicovitch-Museilak-Orlicz spaces of almost periodic functions
• Actual problems of the approximation theory in metrics of discrete spaces on sets of summable periodic and almost periodic functions