Convolution and Jackson inequalities in Musielak--Orlicz spaces

Authors: RAMAZAN AKGÜN, YUNUS EMRE YILDIRIR

Abstract: In the present work we prove some direct and inverse theorems for approximation by trigonometric polynomials in Musielak-Orlicz spaces. Furthermore, we get a constructive characterization of the Lipschitz classes in these spaces.

Keywords: Musielak-Orlicz space, direct and inverse theorem, Lipschitz class, trigonometric approximation

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