A Quantitative Dirichlet-Jordan Test for Walsh-Fourier Series

DOI10.2307/2160020zbMath0785.42011OpenAlexW4253382658MaRDI QIDQ4277333

Ferenc Móricz

Publication date: 21 March 1994

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160020

zbMATH Keywords

rate of convergenceuniform convergencebounded variationpointwise convergenceWalsh-Fourier seriesPaley enumerationbounded fluctuationWalsh-Dirichlet kernelDirichlet-Jordan testWalsh orthonormal systemRademacher orthonormal system

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by other special function classes (41A30)

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Rate of convergence for rational and conjugate rational Fourier series of functions of generalized bounded variation

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