Lacunary statistically convergent double sequences in probabilistic normed spaces
Annali dell'Universita di Ferrara, vol.58, no.2, pp.331-339, 2012 (Scopus)
- Publication Type: Article / Article
- Volume: 58 Issue: 2
- Publication Date: 2012
- Doi Number: 10.1007/s11565-012-0157-5
- Journal Name: Annali dell'Universita di Ferrara
- Journal Indexes: Scopus
- Page Numbers: pp.331-339
- Keywords: Double sequence, Lacunary statistical Cauchy, Lacunary statistical convergence, Probabilistic Normed space, Statistical convergence, t-Norm
- Uşak University Affiliated: No
Abstract
In this paper, we introduce the concepts of double lacunary statistically convergent and double lacunary statistically Cauchy sequences in probabilistic normed spaces. We have also demonstrated through an example how to check the lacunary statistical convergence of a sequence in probabilistic normed space. © 2012 Università degli Studi di Ferrara.