On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces

On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces

In this work we prove improved converse theorems of trigonometric approximation in variable exponent Lebesgue spaces with some Mucken-houpt weights. Key words and phrases. weighted fractional moduli of smoothness, converse theorem, fractional derivative.

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Veröffentlicht in:Banach journal of mathematical analysis 2011-01, Vol.5 (1), p.70-82
Hauptverfasser: Akgun, Ramazan, Kokilashvili, Vakhtang
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Sprache:eng
Schlagworte:
Approximation
Approximation theory
Exponents
Mathematical analysis
Theorems
Theorems (Mathematics)
Trigonometrical functions
Vector spaces
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container_title Banach journal of mathematical analysis
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creator Akgun, Ramazan
Kokilashvili, Vakhtang
description In this work we prove improved converse theorems of trigonometric approximation in variable exponent Lebesgue spaces with some Mucken-houpt weights. Key words and phrases. weighted fractional moduli of smoothness, converse theorem, fractional derivative.
doi_str_mv 10.15352/bjma/1313362981
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subjects Approximation
Approximation theory
Exponents
Mathematical analysis
Theorems
Theorems (Mathematics)
Trigonometrical functions
Vector spaces
title On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces
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