This paper deals with new series space | | (∇) introduced by using Cesàro means and difference operator. It is shown that this newly defined space | | (∇) is a-space and has Schauder basis. Furthermore, the , , and-duals of | | (∇) are computed and the characterizations of classes of matrix mappings from | | (∇) to = {ℓ ∞ , , 0 } are also given.