Four-dimensional generalized difference matrix and some double sequence spaces

In this study, we introduce some new double sequence spaces B(M-u), B(C-p), B(C-bp), B(C-r) and B(L-q) as the domain of four-dimensional generalized difference matrix B(r,s,t,u) in the spaces M-u, C-p, C-bp, C-r and L-q, respectively. We show that the double sequence spaces B(M-u), B(C-bp) and B(C-r) are the Banach spaces under some certain conditions. We give some inclusion relations with some topological properties.