Lacunary generalized difference statistical convergence in random 2-normed spaces

Bipan Hazarika
2012 Proyecciones  
Recently in [22] , Mursaleen introduced the concept of statistical convergence in random 2-normed spaces. In this paper, we define and study the notion of lacunary ∆ n -statistical convergence and lacunary ∆ n -statistical Cauchy sequences in random 2-normed spaces using lacunary density and prove some interesting theorems. Subjclass [2000] : Primary 40A05; Secondary 46A70, 40A99, 46A99.
doi:10.4067/s0716-09172012000400006 fatcat:bbiql35frbbc7gkzq7o6w2sdcq