On the absolute convergence of the series of Fourier coefficients with respect to Haar-like systems in the class \(BV(p(n)\uparrow p,\phi)\)

DOI10.3103/S1068362315060047zbMath1334.42060OpenAlexW2205461014MaRDI QIDQ260383

A. Aplakov

Publication date: 21 March 2016

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362315060047

zbMATH Keywords

Fourier seriesVilenkin systemabsolute convergenceHaar-like system

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

• Convergence of Fourier series of a function on generalized Wiener's class \(BV(p(n)\uparrow\infty)\)
• Uniform convergence of Cesàro means of negative order of double Walsh--Fourier series
• On the uniform convergence of Walsh-Fourier series
• On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation
• Convergence of double Fourier series and generalized Λ-variation
• On the maximal operator of Walsh-Kaczmarz-Fejér means
• On Λ-bounded variation
• A generalization of bounded variation
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