On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals
Autor: | Kaustubh Dutta, Sanjoy Ghosal, Pratulananda Das, Vatan Karakaya |
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Jazyk: | angličtina |
Rok vydání: | 2013 |
Předmět: | |
Zdroj: | Abstract and Applied Analysis, Vol 2013 (2013) Abstr. Appl. Anal. |
ISSN: | 1687-0409 1085-3375 |
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 strongℐ- andℐ*-statistical convergence and two related concepts, namely, strongℐ-lacunary statistical convergence and strongℐ-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: | OpenAIRE |
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