Weighted statistical convergence of order a and its applications

Author

Department of Mathematics, Kalyani Government Engineering College, Kalyani, Nadia 741235, West Bengal, India

Abstract

The definition of weighted statistical convergence was first introduced by Karakaya and
Chishti (2009) [1]. After that the definition was modified by Mursaleen et al. (2012) [2]. But some
problems are still there; so it will be further modified in this paper. Using it some newly developed
definitions of the convergence of a sequence of random variables in probability have been introduced
and their interrelations also have been investigated, and in this way a partial answer to an
open problem posed by Das and Savas (2014) [3] has been given.

Keywords