Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh-Fourier series

DOI10.1186/S13660-022-02765-5zbMath1506.42036OpenAlexW4220845361MaRDI QIDQ2129123

Lars-Erik Persson, Harpal Singh, David Baramidze, Giorgi Tephnadze

Publication date: 22 April 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-022-02765-5

zbMATH Keywords

inequalitiesconvergenceWalsh systemdivergencepartial sumsFejér meansmartingale Hardy spacelogarithmic means

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30)

Related Items (4)

\((H_p-L_p)\)-type inequalities for subsequences of Nörlund means of Walsh-Fourier series ⋮ Some weak type inequalities and almost everywhere convergence of Vilenkin-Nörlund means ⋮ Norm and almost everywhere convergence of matrix transform means of Walsh-Fourier series ⋮ Unnamed Item

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