arXiv subjects

N. Anakidze

Publications and source records attributed to N. Anakidze.

2 recordsLinked to original sources

arXiv2024

Approximation by $T$ means with respect to Vilenkin system in Lebesgue spaces and Lipschitz classes

In this paper we present and prove some new results concerning approximation properties of $T$ means with respect to the Vilenkin system in Lebesgue spaces and Lipschitz classes for any $1\leq p<\infty$. As applications, we obtain extension of some known approximation inequalities.

math.GM↗

arXiv2023

Approximation by Nörlund means with respect to Vilenkin system in Lebesgue spaces

In this paper we improve and complement a result by Móricz and Siddiqi \cite{Mor}. In particular, we prove that their estimate of the Nörlund means with respect to the Vilenkin system holds also without their additional condition. Moreover, we prove a similar approximation result in Lebesgue spaces for any $1\leq p<\infty$.

math.CA↗