ON GENERALIZED STATISTICAL CONVERGENCE OF ORDER ˜α VIA IDEAL WITH RESPECT TO MODULUS FUNCTION
Advances in Mathematical Sciences and Applications, vol.33, no.2, pp.595-615, 2024 (Scopus)
- Publication Type: Article / Article
- Volume: 33 Issue: 2
- Publication Date: 2024
- Journal Name: Advances in Mathematical Sciences and Applications
- Journal Indexes: Scopus
- Page Numbers: pp.595-615
- Keywords: Cesàro summability method, statistical convergence, Triple sequences
- Süleyman Demirel University Affiliated: Yes
Abstract
In this paper, we define new notions of (f, I)-statistical convergence for triple sequences of order α and strong (f, I)-Cesàro summability for triple sequences of order α. Furthermore, we examine the relationships among the spaces. Additionally, we present the concepts of (f, I)-lacunary statistical convergence of order α and strong (f, I)-lacunary summability of order α for triple sequences, providing inclusion relations among these new concepts.