I-Statistical Rough Convergence of Order α

Bulut S., Or A.

Journal of New Theory, sa.38, ss.34-41, 2022 (Hakemli Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2022
  • Doi Numarası: 10.53570/jnt.1062253
  • Dergi Adı: Journal of New Theory
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.34-41
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

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.