Statistical Convergence of Double Sequences on Probabilistic Normed Spaces
Yükleniyor...
Tarih
2007
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
International Journal of Mathematics and Mathematical Sciences
Erişim Hakkı
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.
Açıklama
Anahtar Kelimeler
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Karakuş, S., Demirci, K. "Statistical Convergence of Double Sequences on Probabilistic Normed Spaces". International Journal of Mathematics and Mathematical Sciences. Volume 2007, Article ID 14737, 11 pages.
