ON GENERALIZED STATISTICAL CONVERGENCE OF ORDER ˜α VIA IDEAL WITH RESPECT TO MODULUS FUNCTION
Advances in Mathematical Sciences and Applications, cilt.33, sa.2, ss.595-615, 2024 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 2
- Basım Tarihi: 2024
- Dergi Adı: Advances in Mathematical Sciences and Applications
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.595-615
- Anahtar Kelimeler: Cesàro summability method, statistical convergence, Triple sequences
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.