The Strongly Summable Generalized Difference Double Sequence Spaces in 2-Normed Spaces Defined by an Orlicz Functions

The main aim of this paper is to introduce a new class of sequence spaces namely 2^V{\bar{\lambda}}[A,\Δ^n_(mv) ,M,p,||.,.||] σ where σ using the concept of 2-norm and the notion of de la Valee-Pousin means when A=a(m,n,j,k), j,k=0,1,... is a doubly infinite matrix of real numbers for all m,n=0,1,.... To construct these spaces we use an Orlicz function, a bounded sequence of positive real numbers and a generalized difference operator which was introduced by Dutta[2]. We obtain various inclusion relations involving these sequence spaces.