On the integrability and \(L^ 1\)-convergence of Walsh series with coefficients of bounded variation
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Publication:908465
DOI10.1016/0022-247X(90)90335-DzbMath0693.42023OpenAlexW1993161585MaRDI QIDQ908465
Publication date: 1990
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(90)90335-d
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (18)
\(L^ 1\)-convergence of double cosine- and Walsh-Fourier series ⋮ On some spaces of arithmetical functions. I ⋮ Sidon-type inequalities and strong approximation by Fourier sums in multiplicative systems ⋮ Sidon-type inequalities for Legendre polynomials ⋮ Approximation by Marcinkiewicz-type matrix transform of Vilenkin-Fourier series ⋮ \(L^1\)-convergence of double Vilenkin series ⋮ Approximation by Nörlund means of quadratical partial sums of double Walsh-Fourier series ⋮ On integrability and strong summability of Walsh-Kaczmarz series ⋮ On the integrability and \(L^ 1\)-convergence of double Walsh series ⋮ On \(L^ 1\)-convergence of Walsh-Fourier series. II ⋮ Approximation by \(\Theta\)-means of Walsh-Fourier series ⋮ Approximation by Nörlund means of Walsh-Fourier series ⋮ Double Walsh series with coefficients of bounded variation of higher order ⋮ Approximation of the quadratic partial sums of double Walsh-Kaczmarz-Fourier series by Nörlund means ⋮ Approximation by \(\theta\)-means of Walsh-Fourier series in dyadic Hardy spaces and dyadic homogeneous Banach spaces ⋮ On \(L^ 1\)-convergence of Walsh-Fourier series. I ⋮ Approximation by Marcinkiewicz ϴ-means of double Walsh-Fourier series ⋮ An integrability theorem for unbounded Vilenkin systems
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