Hermite-Hadamard-Type Integral Inequalities for Convex Functions and Their Applications

In this paper, we establish new generalizations of the Hermite-Hadamard-type inequalities. These inequalities are formulated in terms modules certain powers proper functions. Generalizations for convex functions also considered. As applications, some digamma function trigamma and involving special means real numbers given. The results include estimates via arithmetic, geometric logarithmic means. examples derived order to demonstrate that our paper more exact than existing ones improve several known available literature. constants calculated; these sharp. a visual example, graphs technically important included text.