ON PARAMETRIZED HERMITE-HADAMARD TYPE INEQUALITIES

In recent years, many results have been devoted to the well-known Hermite-Hadamard inequality. This inequality has many applications in the area of pure and applied mathematics. In this paper, our main aim is to give a parametrized inequality of the Hermite-Hadamard type and its applications to f-divergence measures and means.First, we prove the identity associated with the right side of the Hermite-Hadamard inequality. By using this identity, the convexity of the function and some well-known inequalities, we obtain several results for the inequality. The inequalities derived here also point out some known results as their special cases.