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Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces

Published 21 Apr 2020 in math.CA | (2004.09807v3)

Abstract: In Musilak-Orlicz type spaces ${\mathcal S}_{\bf M}$, direct and inverse approximation theorems are obtained in terms of the best approximations of functions and generalized moduli of smoothness. The question of the exact constants in Jackson-type inequalities is studied.

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