, Volume 67, Issue 1, pp 47-54
Date: 26 Mar 2013

Double sequences and Orlicz functions

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Abstract

In this paper we define strong A-convergence with respect to an Orlicz function for double sequences. We show, on bounded double sequences, that statistical convergence and strong A-convergence with respect to any Orlicz function are equivalent. This eliminates a condition of Demirci for bounded single (ordinary) sequences.

Communicated by Dénes Petz