Almost everywhere convergence of Fejér and logarithmic means of subsequences of partial sums of the Walsh-Fourier series of integrable functions

DOI10.1016/j.jat.2009.07.011zbMath1194.42033OpenAlexW2061957641MaRDI QIDQ968969

György Gát

Publication date: 11 May 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2009.07.011

zbMATH Keywords

almost everywhere convergenceWalsh-Fourier seriessubsequence of partial sums

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (3)

On the divergence of subsequences of partial Walsh-Fourier sums ⋮ Cesàro means of subsequences of partial sums of trigonometric Fourier series ⋮ Properties of some subsequences of the Walsh-Kaczmarz-Dirichlet kernels

Cites Work

• On the summability of Fourier series with the method of lacunary arithmetic means
• Summation of multiple Fourier series in multiplicative systems
• Distribution function inequalities for martingales
• Pointwise convergence of expansions with respect to certain product systems
• The Fourier-Walsh subsequence of partial sums
• Summation of Fourier-Walsh series
• Almost everywhere convergence of Walsh Fourier series of $H^{1}$-functions
• Summability of Fourier series with the method of lacunary arithmetical means at the Lebesgue points
• Sur la convergence presque partout des séries de Fourier-Walsh des fonctions de l'espace L²(0,1)
• CESARO SUMMABILITY OF WALSH-FOURIER SERIES
• On Strong Summability of Fourier Series
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