17 citations · 23 across the 10 of their papers we have counts for
19 papers
Some new results for subsequences of Nörlund logarithmic means of Walsh-Fourier series
D. Baramidze, L. -E. Persson, H. Singh +1
We prove that there exists a martingale such that the subsequence of Nörlund logarithmic means with respect to the Walsh system are not bounded in the L…
Strong convergence theorem for Walsh-Kaczmarz-Fejér means
Nata Gogolashvili, Károly Nagy, George Tephnadze
As main result we prove that Fejér means of Walsh-Kaczmarz-Fourier series are uniformly bounded operators from the Hardy martingale space to the Hardy martingale space $H…
The One-dimensional Martingale Hardy Spaces and Partial Sums and Fejér Means with respect to Walsh system
George Tephnadze
In this paper we prove and discuss some new type inequalities for partial Sums and Fejér means with respect to Walsh system. It is also proved that these…
Convergence and Strong Summability of the Two-dimensional Vilenkin-Fourier Series
G. Tephnadze
In this paper we investigate convergence and strong summability of the two-dimensional Vilenkin-Fourier series in the martingale Hardy spaces.
A note on strong summability of two-dimensional Walsh-Fourier series
George Tephnadze
In this paper we investigate strong summability of the two-dimensional Walsh-Fourier series obtained in Weisz \cite{We} (see Theorem W) and prove sharpness of this result.
On the Partial Sums and Marcinkiewicz and Fejér Means on the One- and Two-dimensional One-parameter Martingale Hardy Spaces
George Tephnadze
In this PhD thesis we are dealing with convergence and summability of partial sums, Fejér and Marcinkiewicz means with respect to one- and two-dimensional Walsh-Fourier series on t…