On almost everywhere convergence and divergence of Marcinkiewicz-like means of integrable functions with respect to the two-dimensional Walsh system

DOI10.1016/j.jat.2011.09.010zbMath1236.42024OpenAlexW2091285109MaRDI QIDQ657440

György Gát

Publication date: 16 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.jat.2011.09.010

Mathematics Subject Classification ID

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

Related Items (3)

Triangular Fejér summability of two-dimensional Walsh-Fourier series ⋮ Almost everywhere convergence of subsequence of quadratic partial sums of two-dimensional Walsh-Fourier series ⋮ Almost everywhere convergence of Fejér means of two-dimensional triangular Walsh-Fourier series

Cites Work

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• Marcinkiewicz-Fejér means of \(d\)-dimensional Walsh--Fourier series
• Almost everywhere summability of multiple Walsh-Fourier series.
• A generalization for Fourier transforms of a theorem due to Marcinkiewicz
• Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
• Cesaro Summability of Double Walsh-Fourier Series
• On the divergence of the $(C,1)$ means of double Walsh-Fourier series
• CESARO SUMMABILITY OF WALSH-FOURIER SERIES

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