A Tauberian Theorem for Double Cesàro Summability MethodReport as inadecuate




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International Journal of Mathematics and Mathematical Sciences - Volume 2016 2016, Article ID 2431010, 4 pages -

Research Article

Department of Mathematics, VSS University of Technology, Burla 768018, India

Department of Mathematics, NIST, Palur Hills, Golanthara 761008, India

Received 24 February 2016; Revised 12 April 2016; Accepted 27 April 2016

Academic Editor: Syed Abdul Mohiuddine

Copyright © 2016 Bidu Bhusan Jena et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We have generalized Littlewood Tauberian theorems for summability of double sequences by using oscillating behavior and de la Vallée-Poussin mean. Further, the generalization of summability from summability is given as corollaries which were earlier established by the authors.





Author: Bidu Bhusan Jena, Susanta Kumar Paikray, and Umakanta Misra

Source: https://www.hindawi.com/



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