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Turkish Journal of Mathematics

Authors

SADULLA JAFAROV

DOI

10.3906/mat-1804-31

Abstract

In the present work, we investigate estimates of the deviations of the periodic functions from the linear operators constructed on the basis of its Fourier series in reflexive weighted Orlicz spaces with Muckenhoupt weights. In particular, the orders of approximation of Zygmund and Abel-Poisson means of Fourier trigonometric series were estimated by the $k-th$~modulus of smoothness in reflexive weighted Orlicz spaces with Muckenhoupt weights.

First Page

2916

Last Page

2925

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