On the divergence of Nörlund logarithmic means of Walsh-Fourier series
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Publication:1034314
DOI10.1007/S10114-009-7013-2zbMath1173.42320OpenAlexW2075492964MaRDI QIDQ1034314
Publication date: 11 November 2009
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-009-7013-2
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (9)
Almost everywhere convergence of some subsequences of the Nörlund logarithmic means of Walsh-Fourier series ⋮ Some properties of the Walsh-Nörlund means ⋮ Some weak type inequalities and almost everywhere convergence of Vilenkin-Nörlund means ⋮ Pointwise convergence of cone-like restricted two-dimensional Fejér means of Walsh-Fourier series ⋮ Maximal operators of Walsh-Nörlund means on the dyadic Hardy spaces ⋮ Almost everywhere convergence of strong Nörlund logarithmic means of Walsh-Fourier series ⋮ Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Kaczmarz-Fourier series ⋮ Approximation of integrable functions by general linear operators of their Fourier series ⋮ Maximal operators of Vilenkin-Nörlund means
Cites Work
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- On (C,1) summability for Vilenkin-like systems
- Convergence of logarithmic means of multiple Walsh-Fourier series
- An Everywhere Divergent Fourier-Walsh Series of the Class L(log + log + L) 1-ε
- Everywhere divergent Fourier series with respect to the Walsh system and with respect to multiplicative systems
- Summability of Fourier-Laplace series with the method of lacunary arithmetical means at Lebesgue points
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