I-Statistical Rough Convergence of Order α
Journal of New Theory, no.38, pp.34-41, 2022 (TRDizin)
- Publication Type: Article / Article
- Publication Date: 2022
- Doi Number: 10.53570/jnt.1062253
- Journal Name: Journal of New Theory
- Journal Indexes: TR DİZİN (ULAKBİM)
- Page Numbers: pp.34-41
- Istanbul Gelisim University Affiliated: No
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 (xk) to be
I-st bounded of order α is studied. In addition, the necessary and sufficient condition
for a sequence (xk) to be I-st convergent of order α is examined. Finally, the need
for further research studies are discussed.