Approximation by de la valleee poussin means in weighted generalized grand smirnov classes

Abstract

Let G be a simple connected domain on complex plane such that Gamma := partial derivative G where Gamma is a Carleson curve. In this work, we investigate the rate of approximation by De La Vallee Poussin mean constructed via p - epsilon Faber series in the proper subclass of weighted generalized grand Smirnov classes epsilon(p),theta)(omega) (G) , 1 < p < infinity where the omega satisfying Muckenhoupt's condition.