Original scientific paper

https://doi.org/10.3336/gm.43.1.09

Approximation and moduli of fractional order in Smirnov-Orlicz classes

Ramazan Akgün orcid.org/0000-0001-6247-8518 ; Balikesir University, Faculty of Science and Art, Department of Mathematics
Daniyal M. Israfilov ; Institute of Math. and Mech. NAS Azerbaijan

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.

Keywords

Orlicz space; Smirnov-Orlicz class; Dini-smooth curve; direct theorems; inverse theorems; fractional modulus of smoothness

Hrčak ID:

23536

URI

https://hrcak.srce.hr/23536

Publication date:

25.5.2008.

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