\(L^p\) integrability of trigonometric series with special varying coefficients

DOI10.1007/S11766-009-2141-0zbMath1212.42012OpenAlexW2171111462MaRDI QIDQ603182

Baorong Wei

Publication date: 5 November 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-2141-0

zbMATH Keywords

trigonometric series\(L^p\) integrabilityspecial varying coefficients

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

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Cites Work

• On the uniform convergence and boundedness of a certain class of sine series
• On the integrability of functions defined by trigonometrical series
• Some asymptotic properties of Fourier constants and integrability theorems
• A new class of numerical sequences and its applications to sine and cosine series
• On the uniform convergence of trigonometric series with rarely changing coefficients
• Remarks on convergence of trigonometric series with special varying coefficients
• A generalization of the monotonicity condition and applications
• A new condition for the uniform convergence of certain trigonometric series
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