Approximation by Nӧrlund means of double Walsh-Fourier series for Lipschitz functions
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Publication:2885347
DOI10.7153/MIA-15-25zbMath1243.42038OpenAlexW2319446472MaRDI QIDQ2885347
Publication date: 23 May 2012
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/mia-15-25
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Summability in several variables (42B08)
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Approximation by Marcinkiewicz-type matrix transform of Vilenkin-Fourier series ⋮ Sharp \(H_{p}\)-\(L_{p}\) type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications ⋮ On the Nörlund means of Vilenkin-Fourier series ⋮ Some properties of the Walsh-Nörlund means ⋮ Approximation by subsequences of matrix transform mean of Walsh-Fourier series ⋮ Some weak type inequalities and almost everywhere convergence of Vilenkin-Nörlund means ⋮ On the rate of approximation by generalized de la Vallée Poussin type matrix transform means of Walsh-Fourier series ⋮ Almost everywhere convergence of \(T\) means with respect to the Vilenkin system of integrable functions ⋮ Approximation by matrix transform means with respect to the character system of the group of 2-adic integers ⋮ Maximal operators of T means with respect to Walsh-Kaczmarz system ⋮ Maximal operators of Vilenkin-Nörlund means ⋮ Approximation by \(T\)-transformation of double Walsh-Fourier series to multivariable functions ⋮ Approximation by Marcinkiewicz ϴ-means of double Walsh-Fourier series ⋮ Vilenkin-Lebesgue points and almost everywhere convergence for some classical summability methods ⋮ Sharp \((H_p, L_p)\) type inequalities of maximal operators of \(T\) means with respect to Vilenkin systems
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