Some Inequalities Related to Strong Convergence of Riesz Logarithmic Means
Classical Analysis and ODEs
2020-02-13 v1
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.
Keywords
Cite
@article{arxiv.2002.04642,
title = {Some Inequalities Related to Strong Convergence of Riesz Logarithmic Means},
author = {D. Lukkassen and L. E. Persson and G. Tephnadze and G. Tutberidze},
journal= {arXiv preprint arXiv:2002.04642},
year = {2020}
}