Some inequalities related to strong convergence of Riesz logarithmic means

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https://hdl.handle.net/10037/18230
DOI
https://doi.org/10.1186/s13660-020-02342-8
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Date
2020-03-23
Type
Journal article
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Peer reviewed

Author
Lukkassen, Dag; Persson, Lars Erik; Tephnadze, George; Tutberidze, Giorgi
Abstract
In this paper we derive a new strong convergence theorem of Riesz logarithmic means of the one-dimensional Vilenkin–Fourier (Walsh–Fourier) series. The corresponding inequality is pointed out and it is also proved that the inequality is in a sense sharp, at least for the case with Walsh–Fourier series.
Is part of
Tutberidze, G. (2021). A study of bounded operators on martingale Hardy spaces. (Doctoral thesis). https://hdl.handle.net/10037/23128.
Publisher
Springer Nature
Citation
Lukkassen, D.; Persson, L.E.; Tephnadze, G.; Tutberidze, G.(2020) Some inequalities related to strong convergence of Riesz logarithmic means. Journal of Inequalities and Applications, 2020, 79.
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