I-Statistical Rough Convergence of Order α

Bulut S., Or A.

Journal of New Theory, no.38, pp.34-41, 2022 (Peer-Reviewed Journal) identifier

  • 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.