A Tauberian Theorem for Double Cesàro Summability Method

Bidu Bhusan Jena; Susanta Kumar Paikray; Umakanta Misra

doi:10.1155/2016/2431010

International Journal of Mathematics and Mathematical Sciences (Jan 2016)

A Tauberian Theorem for Double Cesàro Summability Method

Bidu Bhusan Jena,
Susanta Kumar Paikray,
Umakanta Misra

Affiliations

Bidu Bhusan Jena: Department of Mathematics, VSS University of Technology, Burla 768018, India
Susanta Kumar Paikray: Department of Mathematics, VSS University of Technology, Burla 768018, India
Umakanta Misra: Department of Mathematics, NIST, Palur Hills, Golanthara 761008, India

DOI: https://doi.org/10.1155/2016/2431010
Journal volume & issue: Vol. 2016

Abstract

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

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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