Statistical convergence of double sequences on probabilistic normed spaces
Yazarlar (2)
Prof. Dr. Sevda AKDAĞ Sinop Üniversitesi, Türkiye
Prof. Dr. Kamil DEMİRCİ Sinop Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı International Journal of Mathematics and Mathematical Sciences
Dergi ISSN 0161-1712 Dergi Bilgileri (2007)
Dergi Tarandığı Indeksler
Makale Dili İngilizce Basım Tarihi 01-2007
Kabul Tarihi Yayınlanma Tarihi 01-01-2007
Cilt / Sayı / Sayfa 2007 / 1 / 14737–0 DOI 10.1155/2007/14737
Makale Linki https://onlinelibrary.wiley.com/doi/abs/10.1155/2007/14737
UAK Araştırma Alanları
Matematiksel Analiz
Özet
The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003. Karakus has recently introduced the concept of statistical convergence of ordinary (single) sequence on probabilistic normed spaces. In this paper, we define statistical analogues of convergence and Cauchy for double sequences on probabilistic normed spaces. Then we display an exampl e such that our method of convergence is stronger than usual convergence on probabilistic normed spaces. Also we give a useful characterization for statistically convergent double sequences.
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