Hermite-Hadamard and Simpson-like type inequalities for differentiable p-quasi-convex functions

İmdat İşcan, Sercan Turhan, Selahattin Maden

In this paper, we give a new concept which is a generalization of the concepts quasi-convexity and harmonically quasi-convexity and establish a new identity. A consequence of the identity is that we obtain some new general inequalities containing all of the Hermite-Hadamard and Simpson-like type for functions whose derivatives in absolute value at certain power are p-quasi-convex. Some applications to special means of real numbers are also given