Approximation by matrix transforms in weighted Orlicz spaces

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,

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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