I-Statistical Rough Convergence of Order α

Authors : Sevcan Bulut, Aykut Or

Pages : 34-41

Doi:10.53570/jnt.1062253

View : 19 | Download : 14

Publication Date : 2022-03-31

Article Type : Research

Abstract :The aim of this paper is to define the concept of I-statistical (I-st) rough convergence of order α (0 < α ≤ 1). It proposes the concept of I-st bounded of order α. Moreover, the necessary and sufficient condition for a sequence (x_k) to be I-st bounded of order α is studied. In addition, the necessary and sufficient condition for a sequence (x_k) to be I-st convergent of order α is examined. Finally, the need for further research studies is discussed.
Keywords : Ideal rough convergence, Ideal statistical rough convergence, Ideal statistical rough convergence of order α.