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

Document Type: Regular Paper

Authors

Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey

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 statistical convergence in a real 2-normed space, are defined. Also, some relations between these concepts are investigated.

Keywords