Open Access
February 2010 Simultaneous and Converse Approximation Theorems in Weighted Orlicz Spaces
Ramazan Akgün, Daniyal M. Israfilov
Bull. Belg. Math. Soc. Simon Stevin 17(1): 13-28 (February 2010). DOI: 10.36045/bbms/1267798496

Abstract

In the present work, we investigate the simultaneous and converse approximation by trigonometric polynomials of the functions in the Orlicz spaces with weights satisfying so called Muckenhoupt's $A_{p}$ condition.

Citation

Download Citation

Ramazan Akgün. Daniyal M. Israfilov. "Simultaneous and Converse Approximation Theorems in Weighted Orlicz Spaces." Bull. Belg. Math. Soc. Simon Stevin 17 (1) 13 - 28, February 2010. https://doi.org/10.36045/bbms/1267798496

Information

Published: February 2010
First available in Project Euclid: 5 March 2010

zbMATH: 1192.46025
MathSciNet: MR2656669
Digital Object Identifier: 10.36045/bbms/1267798496

Subjects:
Primary: 46E30
Secondary: 41A10 , 41A25 , 41A27 , 42A10

Keywords: inverse theorems , weighted fractional modulus of smoothness , weighted Orlicz space

Rights: Copyright © 2010 The Belgian Mathematical Society

Vol.17 • No. 1 • February 2010
Back to Top