Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent

DOI10.1515/dema-2017-0023zbMath1375.41017OpenAlexW2766241341MaRDI QIDQ1674025

Sadulla Z. Jafarov

Publication date: 1 November 2017

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2017-0023

zbMATH Keywords

best approximation by trigonometric polynomialsfractional derivativede la Vallée-Poussin sumsLebesgue spaces with variable exponentfractional moduli of smoothness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Fractional derivatives and integrals (26A33) Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (6)

Direct and inverse theorems of approximation of functions in weighted Orlicz type spaces with variable exponent ⋮ Realization functionals and description of a modulus of smoothness in variable exponent Lebesgue spaces ⋮ Approximation in variable exponent spaces and growth of norms of trigonometric polynomials ⋮ Gadjieva's conjecture, K -functionals, and some applications in weighted Lebesgue spaces ⋮ Direct and Inverse Theorems in Variable Exponent Smirnov Classes ⋮ Approximation by matrix transforms in generalized grand Lebesgue spaces with variable exponent

Cites Work

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• Approximation of conjugate functions by trigonometric polynomials in weighted Orlicz spaces
• Approximation by trigonometric polynomials in weighted Orlicz spaces
• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials
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