Affiliation:
1. Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai, Tamilnadu, India
Abstract
The purpose of this article is to study the notion of statistical limit superior(SLS) and statistical limit inferior(SLI) in non-Archimedean(NA) L -fuzzy normed spaces( L -FNS). The concept of SLS and SLI is examined and extended to SLS and SLI in NA L -FNS. Moreover, the analogue of some results between SLS and SLI over NA L -FNS have been discussed. And also, it is proved that a bounded sequence is statistically convergent over NA L -FNS. Throughout this article, K denotes a complete, non-trivially valued, non-Archimedean fields(NAF).
Subject
Artificial Intelligence,General Engineering,Statistics and Probability
Reference20 articles.
1. Sur la convergence statistique;Fast;ColloquiumMathematicum,1951
2. Statistical limit superior and limitinferior;Fridy;Proceedings of the American Mathematical Society,1997
3. On statistically convergent double sequences of fuzzynumbers;Savas;Information Sciences,2004
4. Generalized statistically convergentsequences of functions in fuzzy 2-normed spaces;Savas;Journal ofIntelligent & Fuzzy Systems,2014
5. λ-statisticalconvergence in fuzzy normed linear spaces;Türkmen;Journal ofIntelligent & Fuzzy Systems,2018