On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals
ABSTRACT AND APPLIED ANALYSIS, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2013
- Doi Numarası: 10.1155/2013/765060
- Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
Following the line of (Das et al., 2011, Savas and Das, 2011), we make a new approach in this paper to extend the notion of strong convergence and more general strong statistical convergence (Sencimen and Pehlivan, 2008) using ideals and introduce the notion of strong I- and I*-statistical convergence and two related concepts, namely, strong I-lacunary statistical convergence and strong I-lambda-statistical convergence in a probabilistic metric space endowed with strong topology. We mainly investigate their interrelationship and study some of their important properties.