On Some Difference Sequence Sets and Their Topological Properties

The idea of difference sequence sets, X(Δ)={x=(x_k):Δx(element of)X}, where X=l(infinity), c and c0 was introduced by Kýzmaz [4], and then this subject has been studied and generalized by various mathematicians. In this study, we define a new sequence space denoted by m(Φ,p)(Δ^r) and give some properties of this sequence space. The obtained results generalize some known results.