Approximation and Moduli of Fractional Orders in Smirnov-orlicz Classes

Abstract

In this work we investigate the approximation problems in the Smirnov-Orlicz spaces in terms of the fractional modulus of smoothness. We prove the direct and inverse theorems in these spaces and obtain a constructive descriptions of the Lipschitz classes of functions defined by the fractional order modulus of smoothness, in particular. 1. Preliminaries and introduction A function M (u) : R → R is called an N -function if it admits of the representation

Cite this paper

@inproceedings{Akgn2008ApproximationAM, title={Approximation and Moduli of Fractional Orders in Smirnov-orlicz Classes}, author={Ramazan Akg{\"{u}n and Daniyal M. Israfilov}, year={2008} }