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
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Approximation theory
Exponents
Mathematical analysis
Theorems
Theorems (Mathematics)
Trigonometrical functions
Vector spaces
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Beschreibung
Zusammenfassung: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.
ISSN:1735-8787
1735-8787
DOI:10.15352/bjma/1313362981