Strong Summability of Two-Dimensional Vilenkin Fourier series
Analysis of PDEs
2016-09-16 v1
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 is uniformly strong summable to the function exponentially in the power . Moreover, it is proved that this result is best possible.
Keywords
Cite
@article{arxiv.1609.01646,
title = {Strong Summability of Two-Dimensional Vilenkin Fourier series},
author = {Ushangi Goginava},
journal= {arXiv preprint arXiv:1609.01646},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1609.01645