On the approximation properties of Cesàro means of negative order of Walsh-Fourier series
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Publication:1599247
DOI10.1006/JATH.2001.3632zbMath0998.42018OpenAlexW2081456334MaRDI QIDQ1599247
Publication date: 17 November 2002
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.2001.3632
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Summability in several variables (42B08)
Related Items (25)
On the convergence of Fejér means of Walsh-Fourier series in the space \(H_p\) ⋮ Approximation by Marcinkiewicz-type matrix transform of Vilenkin-Fourier series ⋮ On the Nörlund means of Vilenkin-Fourier series ⋮ Almost everywhere convergence and divergence of Cesàro means with varying parameters of Walsh-Fourier series ⋮ On the summability of double Walsh--Fourier series of functions of bounded generalized variation ⋮ Approximation by subsequences of matrix transform mean of Walsh-Fourier series ⋮ On the rate of approximation by generalized de la Vallée Poussin type matrix transform means of Walsh-Fourier series ⋮ On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation ⋮ Norm and almost everywhere convergence of matrix transform means of Walsh-Fourier series ⋮ On the approximation properties of Cesàro means of negative order for the double Vilenkin-Fourier series ⋮ Approximation by matrix transform means with respect to the character system of the group of 2-adic integers ⋮ Strong convergence theorems for Walsh-Fejér means ⋮ Approximation by Nörlund means of quadratical partial sums of double Walsh-Fourier series ⋮ On the \((C,\alpha)\)-means with respect to the Walsh system ⋮ Approximation by \(\Theta\)-means of Walsh-Fourier series ⋮ Approximation by Cesàro means of negative order of double Walsh-Kaczmarz-Fourier series ⋮ Maximal operators of Vilenkin-Nörlund means ⋮ Approximation by Walsh-Marcinkiewicz means on the Hardy space \(H_{2/3}\) ⋮ Approximation properties of (C, α) means of double walsh-Fourier series ⋮ Approximation of the quadratic partial sums of double Walsh-Kaczmarz-Fourier series by Nörlund means ⋮ Strong convergence theorem of Cesàro means with respect to the Walsh system ⋮ Approximation by \(\theta\)-means of Walsh-Fourier series in dyadic Hardy spaces and dyadic homogeneous Banach spaces ⋮ Some inequalities for Cesàro means of double Vilenkin-Fourier series ⋮ Approximation by Marcinkiewicz ϴ-means of double Walsh-Fourier series ⋮ Cesáro means of double Walsh-Fourier series
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