Almost everywhere convergence of the Cesàro means of two variable Walsh-Fourier series with variable parameters

DOI10.1007/S11253-021-01928-9zbMath1479.42073OpenAlexW3208319150MaRDI QIDQ2057610

A. A. Abu Joudeh, György Gát

Publication date: 7 December 2021

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-021-01928-9

zbMATH Keywords

\((C,\alpha_a)\)-Marcinkiewicz summability methodtwo-dimensional Fourier coefficients

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) 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) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• Marcinkiewicz-Fejér means of \(d\)-dimensional Walsh--Fourier series
• On the convergence of generalized Cesáro means of trigonometric Fourier series. I
• Almost everywhere convergence of \((C,\alpha)\)-means of cubical partial sums of \(d\)-dimensional Walsh--Fourier series
• On (C,1) summability for Vilenkin-like systems
• Convergence of Ces\'{a}ro means with varying parameters of Walsh-Fourier series
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