On (Δm, I)-statistical convergence of order α.

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 (Δ(m), I)-statistical convergence of order α and strong (Δ(p)(m), I)-Cesàro summability of order α of real sequences and investigated their relationship.