9 citations · 15 across the 11 of their papers we have counts for
11 papers
Almost everywhere convergence of subsequences of Walsh-Nörlund means
István Blahota
Let be a non-increasing and convex sequence of non-negative numbers such that . Our main result is to prove almost everywhere convergence \[ t_…
The exact -norm supremum of Walsh--Kaczmarz--Fejér kernels
István Blahota
We study the -norms of Fejér kernels for the Walsh--Kaczmarz system. In the Walsh--Paley case the identity \[ \|K^w_{2^n}\|_1=1 \qquad (n\in\mathbb N) \] follows directly f…
Almost everywhere divergence of Cesaro means of subsequences of Walsh--Paley Fourier partial sums
Istvan Blahota, Gyorgy Gat
We prove an almost everywhere divergence theorem for Cesàro means of subsequences of partial sums of Walsh--Fourier series. More precisely, we show that there exists a strictly inc…
Approximation by matrix transform means with respect to the Walsh system in Lebesgue spaces
István Blahota, Dóra Nagy
In this paper, we improve, complement and generalize (from Nör\-lund to matrix transform means) a result of Móricz and Siddiqi \cite{MS} and some statements of Areshidze and Tephna…
Approximation by a special de la Vallée Poussin type matrix transform mean of Walsh-Fourier series
István Blahota
In this paper, we consider norm convergence for a special matrix-based de la Vallée Poussin-like mean of Fourier series for the Walsh system. We estimate the difference between the…
Equal partners do better in defensive alliances
Marcell Blahota, Istvan Blahota, Attila Szolnoki
Cyclic dominance offers not just a way to maintain biodiversity, but also serves as a sort of defensive alliance against an external invader. Interestingly, a new level of competit…
A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces
I. Blahota, K. Nagy, L. E. Persson +1
The restricted maximal operators of partial sums with respect to bounded Vilenkin systems are investigated. We derive the maximal subspace of positive numbers, for which this opera…
Strong convergence theorem of Cesàro means with respect to the Walsh system
István Blahota, George Tephnadze, Rodolfo Toledo
We prove that Cesàro means of one-dimensional Walsh-Fourier series are uniformly bounded operators in the martingale Hardy space for
Strong convergence theorem for Vilenkin-Fejér means
I. Blahota, G. Tephnadze
As main result we prove strong convergence theorems of Vilenkin-Fejér means when
On the Nörlund means of Vilenkin-Fourier series
I. Blahota, L. E. Persson, G. Tephnadze
In this paper we prove and discuss some new -type inequalities of weighted maximal operators of Vilenkin-Nörlund means with non-increasing coefficients.…
On the -means with respect to the Walsh system
I. Blahota, G. Tephnadze
As main result we prove strong convergence theorems for Cesáro means on the Hardy spaces % , where