Original scientific paper

https://doi.org/10.3336/gm.44.2.10

Approximation by trigonometric polynomials in weighted rearrangement invariant spaces

Ali Guven ; Department of Mathematics, Faculty of Art and Science, Balikesir University, 10145, Balikesir, Turkey
Daniyal M. Israfilov ; Department of Mathematics, Faculty of Art and Science, Balikesir University, 10145, Balikesir, Turkey

Abstract

We investigate the approximation properties of trigonometric polynomials and prove some direct and inverse theorems for polynomial approximation in weighted rearrangement invariant spaces.

Keywords

Boyd indices; modulus of smoothness; Muckenhoupt class; weighted rearrangement invariant space

Hrčak ID:

44054

URI

https://hrcak.srce.hr/44054

Publication date:

9.12.2009.

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