On derivative of trigonometric polynomials and characterizations of modulus of smoothness in weighted Lebesgue space with variable exponent

DOI10.1007/s10998-019-00288-zzbMath1463.41071OpenAlexW2951279906WikidataQ127635017 ScholiaQ127635017MaRDI QIDQ2300145

Ahmed Testici

Publication date: 26 February 2020

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-019-00288-z

zbMATH Keywords

Fourier seriesbest approximationMuckenhoupt weighttrigonometric polynomialde la Vallée-Poussin meanLipschitz class

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Weighted approximation (41A81)

Related Items (5)

Realization functionals and description of a modulus of smoothness in variable exponent Lebesgue spaces ⋮ On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent ⋮ Approximation in variable exponent spaces and growth of norms of trigonometric polynomials ⋮ Unnamed Item ⋮ Direct and Inverse Theorems in Variable Exponent Smirnov Classes

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