On (?m, I)-Statistical Convergence of Order ?

Abstract

The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Delta(m), I)-statistical convergence of order alpha and strong (Delta(m)(p), I)-Cesaro summability of order alpha of real sequences and investigated their relationship.