In this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space (u, v, p; Δ ( m ) ), which consist of the sequences whose generalized weighted Δ ( m ) -difference means are in the linear space (p) defined by I.J. Maddox. Also, we determine the basis of this space and compute its α-, β- and γ-duals. Further, we give the characterization of the classes of matrix mappings from (u, v, p, Δ ( m ) ) to ~ , c and c 0 . Finally, we apply the Hausdorff measure of noncompacness to characterize some classes of compact operators given by matrices on the space p (u, v, Δ ( m ) )(1 p < ~).