Approximation by Marcinkiewicz ϴ-means of double Walsh-Fourier series
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Publication:5244269
DOI10.7153/mia-2019-22-58zbMath1425.42030OpenAlexW2964354095MaRDI QIDQ5244269
Giorgi Tephnadze, István Blahota, Károly Nagy
Publication date: 20 November 2019
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/mia-2019-22-58
Walsh systemapproximationmodulus of continuityweighted meanWalsh-Fourier seriesLipschitz functiontwo-dimensional systemWalsh group\( \Theta \)-meannörlund meanquadratical partial sum
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (15)
Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh-Fourier series ⋮ Approximation by Marcinkiewicz-type matrix transform of Vilenkin-Fourier series ⋮ Convergence of \(T\) means with respect to Vilenkin systems of integrable functions ⋮ Sharp $(H_p,L_p)$ and $(H_p,\text{weak}-L_p)$ type inequalities of weighted maximal operators of $T$ means with respect to Vilenkin systems ⋮ Approximation by subsequences of matrix transform mean of Walsh-Fourier series ⋮ \((H_p-L_p)\)-type inequalities for subsequences of Nörlund means of Walsh-Fourier series ⋮ Some weak type inequalities and almost everywhere convergence of Vilenkin-Nörlund means ⋮ Some new weak (\(H_p\)-\(L_p\))-type inequality for weighted maximal operators of partial sums of Walsh-Fourier series ⋮ On the rate of approximation by generalized de la Vallée Poussin type matrix transform means of Walsh-Fourier series ⋮ An estimate of the maximal operator of the Nörlund logarithmic means with respect to the character system of the group of 2-adic integers on the Hardy space \(H_1\) ⋮ Approximation by matrix transform means with respect to the character system of the group of 2-adic integers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Maximal operators of T means with respect to Walsh-Kaczmarz system ⋮ Vilenkin-Lebesgue points and almost everywhere convergence for some classical summability methods
Cites Work
- Sharp \(H_{p}\)-\(L_{p}\) type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications
- \(\theta\)-summability of Fourier series
- On the integrability and \(L^ 1\)-convergence of Walsh series with coefficients of bounded variation
- Summation of multiple Fourier series in multiplicative systems
- Best approximation by Walsh polynomials
- Approximation by Nörlund means of Walsh-Fourier series
- \(\theta\)-summation and Hardy spaces
- On the approximation properties of Cesàro means of negative order of Walsh-Fourier series
- Approximation by \(\Theta\)-means of Walsh-Fourier series
- Approximation by weighted means of Walsh-Fourier series
- On the boundedness of the \(L^{1}\)-norm of Walsh-Fejér kernels
- On Walsh-Fourier series
- Approximation by Nӧrlund means of double Walsh-Fourier series for Lipschitz functions
- A note on the maximal operators of Vilenkin—Nörlund means with non-increasing coefficients
- Weighted approximation via Θ-summations of Fourier-Jacobi series
- Approximation by Nörlund means of Walsh–Kaczmarz–Fourier series
- On Lacunary Trigonometric Series
- On Approximation by Walsh Functions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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