IMPROVED INVERSE THEOREMS IN WEIGHTED SMIRNOV CLASSES

Abstract

Let G subset of C be a finite simple connected domain and let Gamma := partial derivative G be a Carleson curve. In this work the improved inverse theorems of approximation theory by algebraic polynomials in the weighted Smirnov classes E-p (G, omega) and E-p (G(-), omega), 1 < p < infinity, in term of the fractional modulus of smoothness are obtained.