New Tauberian theorems for statistical Cesàro summability of a function of three variables over a locally convex space

Carlos Granados; Ajoy Kanti Das

doi:10.52737/18291163-2022.14.5-1-15

Authors

Carlos Granados University of Antioquia
Ajoy Kanti Das Bir Bikram Memorial College

DOI:

https://doi.org/10.52737/18291163-2022.14.5-1-15

Keywords:

Locally convex, triple Cesàro summability, triple improper integral, Tauberian theorems, $(C,1,1,1)$-summability, $C(k,r,t)$-summability

Abstract

In this paper, we prove two new Tauberian theorems via statistical Cesàro summability mean of a continuous function of three variables by using oscillating behavior and De la Vallée Poussin means of a triple integral over a locally convex space. Moreover, some remarks and corollaries are provided here to support our results.

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