Order estimates for the best approximations and approximations by Fourier sums in the classes of convolutions of periodic functions of low smoothness in the uniform metric

DOI10.1007/S11253-015-1056-6zbMath1350.42002OpenAlexW1461017534MaRDI QIDQ318095

Mohammad Hasan, M. Dambrine

Publication date: 4 October 2016

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-015-1056-6

zbMATH Keywords

trigonometric polynomialsbest approximationconvolutionsFourier sums

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (1)

Order estimates for the best orthogonal trigonometric approximations of the classes of convolutions of periodic functions of low smoothness

Cites Work

• Estimations of the best approximations for the classes of infinitely differentiable functions in uniform and integral metrics
• Order estimates for the best approximations and approximations by Fourier sums of the classes of \((\psi, \beta)\)-differential functions
• Zur Grössenordnung des Restgliedes Fourierscher Reihen differenzierbarer Funktionen
• Classification of infinitely differentiable periodic functions
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