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

Mikail Et; Abdullah Alotaibi; S A Mohiuddine

doi:10.1155/2014/535419

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

ScientificWorldJournal. 2014 Feb 9:2014:535419. doi: 10.1155/2014/535419. eCollection 2014.

Authors

Mikail Et¹, Abdullah Alotaibi², S A Mohiuddine²

Affiliations

¹ Department of Mathematics, Fırat University, 23119 Elazıg, Turkey.
² Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.

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.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms*
Computer Simulation
Models, Statistical*