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

Armenian Journal of Mathematics

article

Carlos Granados¹  Ajoy Kanti Das² 

[1] University of Antioquia;Bir Bikram Memorial College

关键词: Locally convex;    triple Ces`aro summability;    triple improper integral;    Tauberian theorems;    (C;    1;    1;    1)–summability;    (C;    k;    r;    t)–summability;   

DOI  :  10.52737/18291163-2022.14.5-1-15

学科分类：环境科学（综合）

来源: National Academy of Sciences of the Republic of Armenia

【 摘 要 】

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

【 授权许可】

CC BY