Modulated lacunary statistical convergence of order γ in octonion-valued metric spaces
Asian-European Journal of Mathematics, vol.18, no.12, 2025 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 18 Issue: 12
- Publication Date: 2025
- Doi Number: 10.1142/s1793557125500639
- Journal Name: Asian-European Journal of Mathematics
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Keywords: lacunary sequence, Modulus function, octonion-valued metric space, statistical convergence
- Süleyman Demirel University Affiliated: Yes
Abstract
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.