Linear methods of summing Fourier series and approximation in weighted Orlicz spaces

Authors : Sadulla Jafarov

Pages : 2916-2925

View : 11 | Download : 4

Publication Date : 9999-12-31

Article Type : Makaleler

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