On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals
Joint Authors
Karakaya, Vatan
Das, Pratulananda
Dutta, Kaustubh
Ghosal, Sanjoy
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Das, Pratulananda& Dutta, Kaustubh& Karakaya, Vatan& Ghosal, Sanjoy. 2013. On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-497038
Modern Language Association (MLA)
Das, Pratulananda…[et al.]. On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-497038
American Medical Association (AMA)
Das, Pratulananda& Dutta, Kaustubh& Karakaya, Vatan& Ghosal, Sanjoy. On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-497038
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497038
