3 papers
math.GM2024
Approximation by means with respect to Vilenkin system in Lebesgue spaces and Lipschitz classes
N. Anakidze, N. Areshidze, L. -E. Persson +1
In this paper we present and prove some new results concerning approximation properties of means with respect to the Vilenkin system in Lebesgue spaces and Lipschitz classes fo…
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…