Some Results on f-Statistical Convergence of Double Sequences
Ikonion Journal of Mathematics, cilt.7, sa.1, ss.62-75, 2025 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 7 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.54286/ikjm.1531097
- Dergi Adı: Ikonion Journal of Mathematics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.62-75
- Anahtar Kelimeler: Double sequences, Modulus function, Statistical convergence
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
This study focuses on the development and examination of new definitions related to statistical convergence, modulus functions, and fσ-density within 2-normed spaces. We investigate various relationships between statistical (fσ-convergence, fσ-statistical convergence, fσ-statistically Cauchy sequences, fσ-statistically bounded double sequences, and strongly fσs convergent double sequences in 2-normed spaces. Furthermore, we analyze certain topological properties connected to these concepts.