Modulated lacunary statistical convergence of order γ in octonion-valued metric spaces
Asian-European Journal of Mathematics, cilt.18, sa.12, 2025 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 12
- Basım Tarihi: 2025
- Doi Numarası: 10.1142/s1793557125500639
- Dergi Adı: Asian-European Journal of Mathematics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Anahtar Kelimeler: lacunary sequence, Modulus function, octonion-valued metric space, statistical convergence
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
The primary aim of this paper is to explore novel concepts of convergence and summability for sequences of numbers within the framework of octonion-valued metric spaces, drawing inspiration from modulus functions. Specifically, the study focuses on f-lacunary statistical convergence of order γ and strong f-lacunary summability of order γ for sequences of numbers. These innovative concepts are supported by several fundamental theorems, properties, and interrelations.