On ℐ-Cauchy sequences in 2-normed spaces
Mathematical Inequalities and Applications, cilt.11, sa.2, ss.349-354, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 2
- Basım Tarihi: 2008
- Doi Numarası: 10.7153/mia-11-26
- Dergi Adı: Mathematical Inequalities and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.349-354
- Anahtar Kelimeler: 2-normed spaces, Statistical convergence, ℐ -Cauchy, ℐ-convergence, ℐz.ast; - Cauchy
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
The concept of ℐ-convergence is a generalization of statistical convergence and it is depended on the notion of the ideal ℐ of subsets of the set ℕ of positive integers. In this paper for sequences in 2 -normed space the relationship between ℐ - convergence and usual convergence along a filter ℱ (ℐ) associated with an admissible ideal ℐ with property (AP) is investigated. We introduce the concepts ℐ -Cauchy and ℐ* - Cauchy sequences in 2 -normed spaces and study their certain properties. © ELEMENT.