On the uniform convergence of special sine integrals

DOI10.1007/S10474-010-0063-1zbMath1250.42021OpenAlexW1987232288MaRDI QIDQ653968

Péter Kórus

Publication date: 20 December 2011

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

Full work available at URL: https://doi.org/10.1007/s10474-010-0063-1

zbMATH Keywords

sine integraluniform convergencemean value bounded variation functionmean value bounded variation sequencesupremum bounded variation functionsupremum bounded variation sequence

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (1)

Trigonometric series with piecewise mean value bounded variation coefficients

Cites Work

• Ultimate generalization to monotonicity for uniform convergence of trigonometric series
• Remarks on the uniform and \(L^1\)-convergence of trigonometric series
• On the uniform convergence of sine integrals

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