3 papers
math.CA2020
Some Inequalities Related to Strong Convergence of Riesz Logarithmic Means
D. Lukkassen, L. E. Persson, G. Tephnadze +1
In this paper we derive a new strong convergence theorem of Riesz logarithmic means of the one-dimensional Vilenkin-Fourier (Walsh-Fourier) series. The corresponding inequality is…
math.CA2020
On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces
L-E. Persson, G. Tephnadze, G. Tutberidze
In this paper we characterize subsequences of Fejér means with respect to Vilenkin systems, which are bounded from the Hardy space to the Lebesgue space for all $0…
math.CA2015
Maximal operators of Vilenkin-Nörlund means
L. E. Persson, G. Tephnadze, P. Wall
In this paper we prove and discuss some new type inequalities of maximal operators of Vilenkin-Nörlund means with monotone coefficients. We also ap…