- Mathematical Sciences and Applications E-Notes
- Vol: 3 Issue: 2
- THE RANDOM OF LACUNARY STATISTICAL ON χ^2 OVER p− METRIC SPACES DEFINED BY MUSIELAK
THE RANDOM OF LACUNARY STATISTICAL ON χ^2 OVER p− METRIC SPACES DEFINED BY MUSIELAK
Authors : R. Babu, N. Subramanian, P. Thirunavukkarasu
Pages : 84-98
Doi:10.36753/mathenot.421335
View : 11 | Download : 14
Publication Date : 2015-10-30
Article Type : Research
Abstract :Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. Recently Mohiuddine and Aiyup defined the notion of lacunary statistical convergence and lacunary statistical Cauchy in random 2-normed spaces. In this paper, we define and study the notion of lacunary statistical convergence and lacunary of statistical Cauchy sequences in random on χ 2 over p− metric spaces defined by Musielak and prove some theorems which generalizes Mohiuddine and Aiyup results.Keywords : analytic sequence, double sequences, χ 2 space, Musielak - modulus function, Random p− metric space, Lacunary sequence, Statistical convergence