(Aσ )Δ -DOUBLE SEQUENCE SPACES VIA ORLICZ FUNCTIONS AND DOUBLE STATISTICAL CONVERGENCE

Abstract

The aim of this paper is to introduce and study a new concept of strong double Δ ( A ) σ -convergence sequences with respect to an Orlicz function, and some properties of the resulting sequencespaces were also examined. In addition, we define the Δ ( A ) σ -statistical convergence and establish someconnections between the spaces of strong double Δ ( A ) σ -convergence sequences and the space of doubleΔ ( A ) σ -statistical convergence.