On some new type generalized difference sequence spaces

Abstract

Abstract In this paper we introduce a new type of difference operator Δmn for fixed m, n ∈ ℕ. We define the sequence spaces ℓ∞(Δmn), c(Δmn) and c 0(Δmn) and study some topological properties of these spaces. We obtain some inclusion relations involving these sequence spaces. These notions generalize many earlier existing notions on difference sequence spaces.