- Turkish Journal of Mathematics
- Vol: 42 Issue: 5
- Convolution and Jackson inequalities in Musielak--Orlicz spaces
Convolution and Jackson inequalities in Musielak--Orlicz spaces
Authors : Ramazan Akgün, Yunus Emre Yildirir
Pages : 2166-2185
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Publication Date : 9999-12-31
Article Type : Makaleler
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