论文标题

与Riesz Googarithmic手段的强烈收敛有关的一些不平等现象

Some Inequalities Related to Strong Convergence of Riesz Logarithmic Means

论文作者

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

论文摘要

在本文中,我们得出了一维Vilenkin-Fourier(Walsh-Fourier)系列的Riesz Googarithmic均值的新的强烈收敛定理。指出了相应的不平等,也证明了不平等在某种意义上是敏锐的,至少对于Walsh-Fourier Series的情况而言。

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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