A generalization of bounded variation

DOI10.1023/A:1020807128736zbMath1026.42006OpenAlexW1771953410MaRDI QIDQ5907017

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Publication date: 14 October 2003

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

Full work available at URL: https://doi.org/10.1023/a:1020807128736

zbMATH Keywords

Fourier seriesFourier coefficientsWiener-Young class \(\text{BV}_p\)

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Functions of bounded variation, generalizations (26A45)

Related Items (6)

On the generalized Cesáro summability of trigonometric Fourier series ⋮ Properties of rational Fourier series and generalized Wiener class ⋮ Inclusions of Waterman-Shiba spaces into generalized Wiener classes ⋮ Relations between \(\mathrm{BV}_{*}(q;\alpha)\) and \(\Lambda_{*}\mathrm{BV}^{p}\) classes of functions ⋮ On the classes of functions of generalized bounded variation ⋮ Uniform convergence of double Vilenkin-Fourier series

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