The study of the q-analogue classical results geometric function theory is currently great interest to scholars. In this article, we define generalized classes close-to-convex functions and quasi-convex with help q-difference operator. Moreover, by using q-analogues a certain family linear operators, Kq,bsh, K˜q,sbh, Qq,bsh, Q˜q,sbh are introduced. Several interesting inclusion relationships be...