Some generalized difference sequence spaces defined by Orlicz functions

Abstract

In this paper, we define the sequence spaces: [V, M, p, u, Δ], [V, M, p, u, Δ]0 and [V, M, p, u, Δ]∞, where for any sequence x = (xn), the difference sequence Δx is given by Δx = (Δxn)n=1∞ = (xn - xn-1)n=1∞. We also study some properties and theorems of these spaces. These are generalizations of those defined and studied by Savas and Savas [10] and some others before. © 2008 Austral Internet Publishing. All rights reserved.