Some New Hermite-Hadamard Type Inequalities for Convex Functions

Convex sets and convex functions play a fundamental role in the development of various fields of pure and applied mathematics. Recently, many new generalizations of inequalities with respect to Hermite-Hadamard have been proposed in the literature. In this paper, some new inequalities of the Hermite-Hadamard type for differentiable convex functions are given. These new inequalities are based on the second derivative functions.