On the uniform convergence of sine integrals

DOI10.1016/J.JMAA.2008.12.054zbMath1163.42002OpenAlexW2005453558MaRDI QIDQ1018177

Ferenc Móricz

Publication date: 13 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.12.054

zbMATH Keywords

uniform convergenceuniform boundednesssine seriesmean value bounded variation sequences and measurable functionsnon-onesided bounded variation sequences and measurable functionssine integrals

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (10)

Uniform convergence and integrability of Fourier integrals ⋮ Uniform convergence of sine integral-series ⋮ Trigonometric series with piecewise mean value bounded variation coefficients ⋮ Embedding relations of Besov classes under MVBV ⋮ Uniform convergence of double sine transforms of general monotone functions ⋮ A note on derivative of sine series with square root ⋮ On the uniform convergence of sine series with square root ⋮ On the uniform convergence of special sine integrals ⋮ Uniform convergence of Hankel transforms ⋮ Applications of general monotone sequences and functions to trigonometric series and integrals

Cites Work

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• Ultimate generalization to monotonicity for uniform convergence of trigonometric series
• A generalization of the monotonicity condition and applications

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