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

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.