Formula omitted]-double sequence spaces defined by Orlicz function and double statistical convergence

Abstract

The purpose of this paper is to introduce and study an idea of strong double ( A σ ) -convergence sequences with respect to an Orlicz function. In addition, we define the double ( A σ ) -statistical convergence and establish some connections between the spaces of strong double ( A σ ) -convergence sequences and the space of double ( A σ ) -statistical convergence.