APPROXIMATION BY FEJER SUMS OF FOURIER TRIGONOMETRIC SERIES IN WEIGHTED ORLICZ SPACES

摘要

In this work we investigate the approximation problems of the functions by Fejer sums of Fourier series in the reflexive weighted Orlicz spaces with Muckenhoupt weights and of the functions by Fejer sums of Faber series in weighted Smirnov-Orlicz classes defined on simply connected domains with a Dini-smooth boundary of the complex plane.