Konveks olması gerekmeyen genelleştirilmiş Young fonksiyonu ile üretilen Ağırlıklı Orlicz Uzaylarında yaklaşım

Abstract

The aim of this paper is to investigate the order of approximation by some linear summation methods of trigonometric Fourier series in weighted Orlicz spaces which have generating Young functions not necessary to be convex. Obtained estimations base on the fractional modulus of smoothness and the best approximation. Furthermore, a convolution type operator is defined and its estimation by the best approximation is obtained.