Rough statistical convergence
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.29, ss.291-303, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 29
- Basım Tarihi: 2008
- Doi Numarası: 10.1080/01630560802001064
- Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.291-303
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this work, using the concept of natural density, we introduce the notion of rough statistical convergence. We define the set of rough statistical limit points of a sequence and obtain two statistical convergence criteria associated with this set. Later we prove that this set is closed and convex. Finally, we examine the relations between the set of statistical cluster points and the set of rough statistical limit points of a sequence.