Convolution and Jackson inequalities in Musielak--Orlicz spaces

Authors : Ramazan AKGÜN, Yunus Emre YILDIRIR

Pages : 2166-2185

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Publication Date : 0000-00-00

Article Type : Research Paper

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