Volume 28 • Number 2 • 2005   • On Some Difference Sequence Set and Their Topological Properties Rifat Çolak and Mikâil Et Abstract. The idea of difference sequence sets, X(Δ)={x=(xk):Δx∈X}, where X=ℓ∞, c and c0 was introduced by Kizmaz [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)(Δr) and give some properties of this sequence space. The obtained results generalize some known results. 2000 Mathematics Subject Classification: 40C05, 46A45. Full text: PDF