Title of article :
APPROXIMATION BY FEJER SUMS OF FOURIER TRIGONOMETRIC SERIES IN WEIGHTED ORLICZ SPACES
Author/Authors :
Jafarov, Sadulla Z. Pamukkale University - Faculty of Art and Sciences - Department of Mathematics, Turkey , Jafarov, Sadulla Z. National Academy of Sciences (NAS) - Institute of Mathematics and Mechanics, Azerbaijan
Abstract :
In this work we investigate the approximation problems of the functions by Fejer sums of Fourier series in the reexive 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.
Keywords :
Orlicz space , weighted Orlicz space , Boyd indices , Muckenhoupt weight , Fejer sums , weighted Smirnov , Orlicz class , Dini , smooth curve , Faber series.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
