Hermite-Hadamard Type Inequalities with Applications

In this article first, we give an integral identity and prove some Hermite-Hadamard type inequalities for the function f such that |f″| q is convex or concave for q ≥ 1. Second, by using these results, we present applications to f-divergence measures. At the end, we obtain some bounds for special means of real numbers and new error estimates for the trapezoidal formula.