On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals

Pratulananda Das, Kaustubh Dutta, Vatan Karakaya and Sanjoy Ghosal

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

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 - and -statistical convergence and two related concepts, namely, strong -lacunary statistical convergence and strong - -statistical convergence in a probabilistic metric space endowed with strong topology. We mainly investigate their interrelationship and study some of their important properties.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:765060

DOI: 10.1155/2013/765060

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