Approximation by Nörlund means of Walsh-Fourier series
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Publication:1198163
DOI10.1016/0021-9045(92)90067-XzbMath0757.42009OpenAlexW2038774678MaRDI QIDQ1198163
Publication date: 16 January 1993
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(92)90067-x
Cesàro meansLipschitz spacesSidon type inequalityrate of approximation by Nörlund means for Walsh-Fourier series
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (33)
Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh-Fourier series ⋮ 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 ⋮ 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 ⋮ 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 ⋮ Some properties of the Walsh-Nörlund means ⋮ 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 ⋮ Martingale Hardy spaces and some new weighted maximal operators of Fejér means of Walsh-Fourier series ⋮ 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 ⋮ Maximal operators of Walsh-Nörlund means on the dyadic Hardy spaces ⋮ Approximation by matrix transform means with respect to the character system of the group of 2-adic integers ⋮ Approximation by Nörlund means of quadratical partial sums of double Walsh-Fourier series ⋮ Norm summability of Nörlund logarithmic means on unbounded Vilenkin groups ⋮ Maximal operators of T means with respect to Walsh-Kaczmarz system ⋮ On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\) ⋮ Approximation by \(\Theta\)-means of Walsh-Fourier series ⋮ Maximal operators of Vilenkin-Nörlund means ⋮ Approximation by Walsh-Marcinkiewicz means on the Hardy space \(H_{2/3}\) ⋮ Approximation by \(T\)-transformation of double Walsh-Fourier series to multivariable functions ⋮ Approximation of the quadratic partial sums of double Walsh-Kaczmarz-Fourier series by Nörlund means ⋮ Uniform and \(L\)-convergence of logarithmic means of Walsh-Fourier series ⋮ Approximation by \(\theta\)-means of Walsh-Fourier series in dyadic Hardy spaces and dyadic homogeneous Banach spaces ⋮ Certain Areas of Industrial and Applied Mathematics ⋮ Convergence of logarithmic means of multiple Walsh-Fourier series ⋮ Unnamed Item ⋮ 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
Cites Work
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- On the integrability and \(L^ 1\)-convergence of Walsh series with coefficients of bounded variation
- Best approximation by Walsh polynomials
- On Walsh-Fourier series
- A Remarkable Series of Orthogonal Functions (II)
- On Approximation by Walsh Functions
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