On \(L_p\)-convergence of Cesàro means for Fourier series with monotonic coefficients

DOI10.3103/S1066369X16020043zbMath1337.42002MaRDI QIDQ283072

Levon N. Galoyan

Publication date: 13 May 2016

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cesàro meansFourier series\(L_p\)-summabilityintegral modulus of continuitymonotonic coefficients

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Summability and absolute summability of Fourier and trigonometric series (42A24) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (1)

On the L1-convergence and behavior of coefficients of Fourier-Vilenkin series

Cites Work

• On convergence of negative order cesaro means of the Fourier-Walsh series in \(L_p(p > 1)\) metrics
• The Hardy-Littlewood theorem for trigonometric series with generalized monotone coefficients
• Convergence and summability of Fourier series
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