On the uniform convergence of double sine series with generalized monotone coefficients

DOI10.1007/S10998-011-8205-YzbMath1265.42007OpenAlexW1997457581MaRDI QIDQ663110

Péter Kórus

Publication date: 13 February 2012

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

Full work available at URL: https://doi.org/10.1007/s10998-011-8205-y

zbMATH Keywords

uniform convergenceFourier seriesgeneralized monotonicitydouble sine seriessine seriesmean value bounded variationregular convergencesupremum bounded variation

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (6)

A note on derivative of sine series with square root ⋮ Uniform convergence of trigonometric series with \(p\)-bounded variation coefficients ⋮ On the uniform convergence of sine series with square root ⋮ On the uniform convergence of single and double sine series ⋮ Unnamed Item ⋮ A necessary condition for uniform convergence of double sine series with $p$-bounded variation coefficients

Cites Work

• Some remarks on the notion of regular convergence of multiple series
• Ultimate generalization to monotonicity for uniform convergence of trigonometric series
• Remarks on the uniform and \(L^1\)-convergence of trigonometric series
• A generalization of the monotonicity condition and applications
• On the uniform convergence of double sine series

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