Convergence of Fourier series of a function on generalized Wiener's class \(BV(p(n)\uparrow\infty)\)

DOI10.1007/BF01903673zbMath0789.42004MaRDI QIDQ1187263

S. Singh

Publication date: 28 June 1992

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

zbMATH Keywords

uniform convergenceFourier seriesquasi-uniform convergenceChanturiya classDini-Lipschitz type

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (5)

On quasi \(\varphi(L)^*\)-a.e. convergence of Fourier series of functions in Orlicz spaces ⋮ On the generalized Cesáro summability of trigonometric Fourier series ⋮ 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 absolute convergence of the series of Fourier coefficients with respect to Haar-like systems in the class \(BV(p(n)\uparrow p,\phi)\)

Cites Work

• A Note on Convergence of Fourier Series of a Function on Wiener's Class V_p
• A generalization of bounded variation
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