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, issue 1

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 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.

Date: 2013
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https://doi.org/10.1155/2013/765060

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:765060

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