title: On (Δm, I)-statistical convergence of order α.
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 (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.
authors.affiliation: Department of Mathematics, Fırat University, 23119 Elazıg, Turkey.
authors.forename: Mikail
authors.identifier: 0000-0001-8292-7819
authors.initials: M
authors.lastname: Et
authors.affiliation: Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
authors.forename: Abdullah
authors.identifier: 0000-0001-7780-8137
authors.initials: A
authors.lastname: Alotaibi
authors.affiliation: Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
authors.forename: S A
authors.initials: SA
authors.lastname: Mohiuddine
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D015233:Models, Statistical