Title of article :
On Ʌ-statistical convergence in random 2-normed space
Author/Authors :
Esi, Ayhan Adiyaman University - Science and Art Faculty - Department of Mathematics, Turkey , Braha, Naim L University of Pristina and ”Mother Teresa” - Department of Mathematics and Computer Sciences, Kosovo , Braha, Naim L College Vizioni per Arsim - Department of Computer Sciences and Applied Mathematics, Kosovo
Abstract :
Recently, Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. In this paper, we define and study the notion of Ʌ-statistical convergence and Ʌ-statistical Cauchy sequences in random 2-normed spaces , where λ = (λm) be a non-decreasing sequence of positive numbers tending to infinity such that λm+1 ≤ λm + 1, λ1 = 1 and prove some theorems. In last section we will give the definition of the Ʌ− limit and cluster points and we will show their relation between those classes.
Keywords :
Statistical convergence , λ , statistical convergence , Difference sequence , t , norm , 2 , norm , Random 2 , normed space
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences