Some New Inequalities on Generalization of Hermite-Hadamard and Bullen Type Inequalities, Applications to Trapezoidal and Midpoint Formula

In this paper, we give a new general identity for di?erentiable functions. A consequence of the is that obtain some inequalities containing all Hermite-Hadamard and Bullen type functions whose derivatives in absolute value at certain power are convex. Some applications to special means real numbers also given. Finally, error estimates trapezoidal midpoint formula addressed.