A remark on a condition raised by Tikhonov: an example in \(L^1\) convergence of Fourier series

DOI10.1007/S10474-010-9106-XzbMath1224.42013OpenAlexW2106807991MaRDI QIDQ532068

Song Ping Zhou

Publication date: 26 April 2011

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

Full work available at URL: https://doi.org/10.1007/s10474-010-9106-x

zbMATH Keywords

\(L^1\) convergence of Fourier seriesmean value bounded variation sequences

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability and absolute summability of Fourier and trigonometric series (42A24) Conjugate functions, conjugate series, singular integrals (42A50)

Cites Work

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• Best approximation and moduli of smoothness: Computation and equivalence theorems
• On \(L_1\)-convergence of Fourier series
• Addendum to ``Trigonometric series of Nikol'skii classes
• On L¹-Convergence of Fourier Series under the MVBV Condition
• On L^pintegrability and convergence of trigonometric series

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