On L1-Convergence of Fourier Series under the MVBV Condition

DOI10.4153/CMB-2009-061-6zbMath1190.42001arXiv0704.1865OpenAlexW1966716938MaRDI QIDQ3648329

Dansheng Yu, Ping Zhou, Song Ping Zhou

Publication date: 25 November 2009

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1865

zbMATH Keywords

mean value bounded variationcomplex trigonometric series\(L^1\) convergence

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (6)

Applications of MVBV condition in \(L^1\) integrability ⋮ On \(L^1\)-convergence of Fourier series of complex valued functions under the \(GM_7\) condition ⋮ \(L^1\)-approximation rate of certain trigonometric series ⋮ An application of MVBV condition in real sense for \(L^1\)-convergence of trigonometric series ⋮ A remark on a condition raised by Tikhonov: an example in \(L^1\) convergence of Fourier series ⋮ Trigonometric series with a generalized monotonicity condition

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