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2011 On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces
Ramazan Akgun, Vakhtang Kokilashvili
Banach J. Math. Anal. 5(1): 70-82 (2011). DOI: 10.15352/bjma/1313362981

Abstract

In this work we prove improved converse theorems of trigonometric approximation in variable exponent Lebesgue spaces with some Muckenhoupt weights.

Citation

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Ramazan Akgun. Vakhtang Kokilashvili . "On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces." Banach J. Math. Anal. 5 (1) 70 - 82, 2011. https://doi.org/10.15352/bjma/1313362981

Information

Published: 2011
First available in Project Euclid: 14 August 2011

zbMATH: 1206.42002
MathSciNet: MR2738521
Digital Object Identifier: 10.15352/bjma/1313362981

Subjects:
Primary: 42A10
Secondary: 26A33 , 41A17 , 41A20 , 41A25 , 41A27

Keywords: converse theorem , fractional derivative , weighted fractional moduli of smoothness

Rights: Copyright © 2011 Tusi Mathematical Research Group

Vol.5 • No. 1 • 2011
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