In this paper, we define the sequence spaces: $[V,{lambda},f,p]_0({Delta}^r,E,u),;[V,{lambda},f,p]_1({Delta}^r,E,u),;[V,{lambda},f,p]_{infty}({Delta}^r,E,u),;S_{lambda}({Delta}^r,E,u),;and;S_{{lambda}0}({Delta}^r,E,u)$, where E is any Banach space, and u = ($u_k$) be any sequence such that $u_k;{ eq};0$ for any k , examine them and give various properties and inclusion relations on these spaces. We also show that the space $S_{lambda}({Delta}^r, E, u)$ may be represented as a $[V,{lambda}, f, p]_1({Delta}^r, E, u)$ space. These are generalizations of those defined and studied by M. Et., Y. Altin and H. Altinok [7].