Linear methods of summing Fourier series and approximation in weighted Orliczspaces

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.

Keywords

Boyd indices, weighted Orlicz space, Muckenhoupt weight, modulus of smoothness, Zygmund mean, Abel-Poisson mean

First Page

2916

Last Page

2925

Recommended Citation

JAFAROV, SADULLA (2018) "Linear methods of summing Fourier series and approximation in weighted Orliczspaces," Turkish Journal of Mathematics: Vol. 42: No. 6, Article 6. https://doi.org/10.3906/mat-1804-31
Available at: https://journals.tubitak.gov.tr/math/vol42/iss6/6