- Turkish Journal of Mathematics
- Vol: 44 Issue: 1
- Approximation by matrix transforms in weighted Orlicz spaces
Approximation by matrix transforms in weighted Orlicz spaces
Authors : Sadulla Z. Jafarov
Pages : 179-193
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this work the approximation problems of the functions by matrix transforms in weighted Orlicz spaces with Muckenhoupt weights are studied.We obtain the degree of approximation of functions belonging to Lipschitz class Lip(α,M,ω) through matrix transforms , and Nörlund means Nn(x,f) of their trigonometric Fourier series.Keywords : Matrix transforms, trigonometric approximation, Orlicz space, weighted Orlicz space, Boyd indices, Muckenhoupt weight, modulus of smoothness, weighted Lipschitz classes