On Generalizations of Statistical Convergence and Lacunary Statistical Convergence in Neutrosophic Normed Spaces
Mathematical Notes, cilt.117, sa.3, ss.562-573, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 117 Sayı: 3
- Basım Tarihi: 2025
- Doi Numarası: 10.1134/s0001434625030228
- Dergi Adı: Mathematical Notes
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.562-573
- Anahtar Kelimeler: lacunary statistical convergence, neutrosophic normed space, statistical convergence
- Maltepe Üniversitesi Adresli: Evet
Özet
Abstract: We introduce the concepts of -statistical convergence and -lacunary statistical convergence of order with respect to the neutrosophic norm in neutrosophic normed spaces. We explore the relationships between these two types of convergence and investigate some inclusion theorems. Furthermore, we present -statistically continuous functions and -statistical uniformly convergent functions of order.