APPROXIMATION BY DE LA VALLEE POUSSIN MEANS IN WEIGHTED GENERALIZED GRAND SMIRNOV CLASSES

APPROXIMATION BY DE LA VALLEE POUSSIN MEANS IN WEIGHTED GENERALIZED GRAND SMIRNOV CLASSES

A. Testici

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Abstract

Let G be a simple connected domain on complex plane such that ???? := @G where ???? is a Carleson curve. In this work, we investigate the rate of approximation by De La Vall ee Poussin mean constructed via p ???? " Faber series in the proper subclass of weighted generalized grand Smirnov classes Ep);  ! (G) ; 1 < p < 1 where the ! satisfying Muckenhoupt's condition.

Keywords

De La Vall ee Poussin mean, Faber series, rate of approximation, Generalized grand Smirnov classes, Muckenhoupt weights.