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arXiv · 2002.04642

Some Inequalities Related to Strong Convergence of Riesz Logarithmic Means

D. Lukkassen·L. E. Persson·G. Tephnadze·G. Tutberidze
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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.

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D. Lukkassen, L. E. Persson, G. Tephnadze, G. Tutberidze. 2020-02-11. Some Inequalities Related to Strong Convergence of Riesz Logarithmic Means. https://arxiv.org/abs/2002.04642

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