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

Nino Anakidze; George Tephnadze; Nika Areshidze; Lars-Erik Persson

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

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Authors

Nino Anakidze
George Tephnadze
Nika Areshidze
Lars-Erik Persson

Keywords:

Vilenkin group, Vilenkin system, T means, Nörlund means, Fejér means, approximation, Lebesgue spaces, inequalities

Abstract

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 for any \(1 \le p < \infty\). As applications, we obtain extensions of some known approximation inequalities.

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Published

2025-12-23

How to Cite

Anakidze, N., Tephnadze, G., Areshidze, N., & Persson, L.-E. (2025). Approximation by T means with respect to Vilenkin system in Lebesgue spaces. Eurasian Mathematical Journal, 16(4). Retrieved from https://emj.enu.kz/index.php/main/article/view/873