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

Pratulananda Das | Zendy; Kaustubh Dutta | Zendy; Vatan Karakaya | Zendy; Sanjoy Ghosal | Zendy

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

Author(s) -

Pratulananda Das,

Kaustubh Dutta,

Vatan Karakaya,

Sanjoy Ghosal

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/765060

Subject(s) - algorithm , convergence (economics) , computer science , mathematics , artificial intelligence , machine learning , economics , economic growth

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

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