Strong summability of two-dimensional Vilenkin – Fourier series
Authors
U. Goginava
Tbilisi State Univ., Georgia
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.
