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


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Authors

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

DOI:

https://doi.org/10.32523/2077-9879-2025-16-4-08-22

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., Areshidze, N., Persson, L.-E., & Tephnadze, G. (2025). Approximation by T means with respect to Vilenkin system in Lebesgue spaces. Eurasian Mathematical Journal, 16(4), 08–22. https://doi.org/10.32523/2077-9879-2025-16-4-08-22

Issue

Vol. 16 No. 4 (2025)

Section

Articles