Some properties of the Walsh-Nörlund means
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Publication:6039053
DOI10.2989/16073606.2021.2014594zbMath1514.42033OpenAlexW4205695187MaRDI QIDQ6039053
Publication date: 3 May 2023
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2989/16073606.2021.2014594
Walsh systemalmost everywhere convergenceweak type inequalityFejér meanmartingale transformNörlund meanconvergence in norm
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)
Related Items (2)
On the \(L^1\) norm of the logarithmic kernel of Walsh-Kaczmarz Fourier series ⋮ Maximal operators of Walsh-Nörlund means on the dyadic Hardy spaces
Cites Work
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- Lebesgue constants of the Walsh system and Banach limits
- Approximation by Nörlund means of quadratical partial sums of double Walsh-Fourier series
- Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Fourier series
- Integrability of the sum of absolute values of blocks of the Fourier-Walsh series for functions of bounded variation
- On the divergence of Nörlund logarithmic means of Walsh-Fourier series
- Approximation by Nörlund means of Walsh-Fourier series
- The Fourier-Walsh subsequence of partial sums
- \((C,\alpha)\) summability of Walsh-Fourier series
- Approximation by \(\Theta\)-means of Walsh-Fourier series
- On the boundedness of the \(L^{1}\)-norm of Walsh-Fejér kernels
- Uniform and \(L\)-convergence of logarithmic means of Walsh-Fourier series
- Cesàro summability of one- and two-dimensional Walsh-Fourier series
- Approximation by Nӧrlund means of double Walsh-Fourier series for Lipschitz functions
- On the approximation properties of Cesàro means of negative order of Vilenkin—Fourier series
- A Maximal Inequality for H 1 -Functions on a Generalized Walsh-Paley Group
- On the Nörlund means of Vilenkin-Fourier series
- Logarithmic means of Walsh-Fourier series
- On the convergence of Cesàro means of negative order of Vilenkin-Fourier series
- On the summability of double Fourier series
- On Approximation by Walsh Functions
- CESARO SUMMABILITY OF WALSH-FOURIER SERIES
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