Some sequence spaces derived by Riesz mean in a real 2-normed space

Abstract

In the present paper, we introduce some new sequence spaces derived by Riesz mean and the notions of almost and strongly almost convergence in a real 2-normed space. Some topological properties of these spaces are investigated. Further, new concepts of statistical convergence which will be called weighted almost statistical convergence, almost statistical convergence and [(R) over tilde, p(n)] - statistical convergence in a real 2-normed space, are defined. Also, some relations between these concepts are investigated.