On the uniform convergence of Fourier series to \((\psi,\beta)\)-derivatives

DOI10.1007/S10958-018-4057-9zbMath1461.42003OpenAlexW2893082265MaRDI QIDQ1755715

Elena Ivanovna Radzievskaya

Publication date: 11 January 2019

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

Full work available at URL: https://doi.org/10.1007/s10958-018-4057-9

zbMATH Keywords

uniform convergence of Fourier series\((\psi,\beta)\)-derivativesspaces \(L_p\)best approximations of a function

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

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• Inverse theorems for the approximation of \((\psi{},\beta{})\)- differentiable functions
• On Hardy and Littlewood's theorem

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