Approximation by trigonometric polynomials of functions having \((\alpha , \psi )\)-derivatives in weighted variable exponent Lebesgue spaces

DOI10.1007/s10958-012-0873-5zbMath1258.42004OpenAlexW2027440894MaRDI QIDQ690808

Ramazan Akgün, Vakhtang Kokilashvili

Publication date: 29 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0873-5

zbMATH Keywords

variable exponent Lebesgue space\((\alpha, \psi)\)-derivative

Mathematics Subject Classification ID

Trigonometric approximation (42A10)

Related Items (2)

Some approximation problems for \((\alpha,\psi)\)-differentiable functions in weighted variable exponent Lebesgue spaces ⋮ Approximation by trigonometric polynomials in variable exponent Morrey spaces

Cites Work

• On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces
• Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent
• Operators of harmonic analysis in weighted spaces with non-standard growth
• The maximal operator on weighted variable Lebesgue spaces
• Polynomial approximation of functions in weighted Lebesgue and Smirnov spaces with nonstandard growth
• The refined direct and converse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces
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