On some generalized sequence spaces

摘要

The idea of difference sequence spaces was introduced by Kızmaz [Canad. Math. Bull. 24 (1981) 169] and this concept was generalized by Et and Çolak [Soochow J. Math. 21 (1995) 337]. In this paper we define the sequence spaces ℓ∞(p)(Δvr), c(p)(Δvr), c0(p)(Δvr) and c̄(p)(Δvr), (r∈N), give some topological properties and inclusion relations of these sequence spaces.