Some new conditions in Fourier analysis and applications

DOI10.1007/S10496-001-0092-2zbMath1150.42006OpenAlexW2006873182MaRDI QIDQ3501557

Dansheng Yu, Rui-Jun Le, Song Ping Zhou

Publication date: 3 June 2008

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-001-0092-2

zbMATH Keywords

uniform convergencetrigonometric series\(L'\)-convergence

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)

Cites Work

• Unnamed Item
• On the uniform convergence and boundedness of a certain class of sine series
• On the relationships of seven numerical sequences
• L\({}^ 1\)-convergence of Fourier series with O-regularly varying quasimonotonic coefficients
• Convergence of Fourier series with complex quasimonotone coefficients and coefficients of bounded variation of order \(m^*\)
• On the uniform convergence of sine series with quasimonotone coefficients
• On trigonometric series with quasimonotone coefficients
• The uniform convergence of certain trigonometric series
• 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 new condition for the uniform convergence of certain trigonometric series
• L 1 -Convergence of Fourier Series with Complex Quasimonotone Coefficients
• On certain trigonometric series
• L¹-approximation of Fourier series of complex-valued functions
• On L1 convergence of Fourier series of complex valued functions
• INTEGRABILITY OF TRIGONOMETRIC SERIES (III)
• ON THE INTEGRABILITY OF FUNCTIONS DEFINED BY TRIGONOMETRIC SERIES

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