2019
Том 71
№ 11

All Issues

Strong summability of two-dimensional Vilenkin – Fourier series

Goginava U.


Abstract

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 a continuous function $f$ is uniformly strongly summable to a function $f$ exponentially in the power 1/2. Moreover, it is proved that this result is best possible.

Citation Example: Goginava U. Strong summability of two-dimensional Vilenkin – Fourier series // Ukr. Mat. Zh. - 2019. - 71, № 3. - pp. 340-352.