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arXiv · 1609.01646

Strong Summability of Two-Dimensional Vilenkin Fourier series

Ushangi Goginava
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Abstract

In this paper we study the exponential uniform strong summability of two-dimensional Vilenkin-Fourier series. In particular, it is proved that the two-dimensional Vilenkin-Fourier series of the continuous function $f$ is uniformly strong summable to the function $f$ exponentially in the power $1/2$. Moreover, it is proved that this result is best possible.

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Ushangi Goginava. 2016-09-06. Strong Summability of Two-Dimensional Vilenkin Fourier series. https://arxiv.org/abs/1609.01646

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