On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals
| Autor: | Pratulananda Das, Kaustubh Dutta, Vatan Karakaya, Sanjoy Ghosal |
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| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Abstract and Applied Analysis, Vol 2013 (2013) |
| Druh dokumentu: | article |
| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2013/765060 |
| Popis: | 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 (Şençimen 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-λ-statistical convergence in a probabilistic metric space endowed with strong topology. We mainly investigate their interrelationship and study some of their important properties. |
| Databáze: | Directory of Open Access Journals |
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