Generalized Cesàro difference sequence spaces of non-absolute type involving lacunary sequences

摘要

In this paper we introduce and examine some properties of the sequence spaces C(Δvm,θ,(p)),C[Δvm,θ,(p)],C∞(Δvm,θ,(p)),C∞[Δvm,θ,(p)],Nθ(Δvm,(p)),Sθ(Δvm) and study various properties and inclusion relations of these spaces. We also show that the space Sθ(Δvm) may be represented as Nθ(Δvm,(p)) space.