Novel Hermite-Hadamard type integral inequalities for twice differentiable functions by weighted integrals

Abstract

For convex, s-convex and h-convex functions, the Hermite-Hadamard inequality is already well known in the theory of inequalities. In this regard, this work presents new inequalities associated with the weighted integrals for (h,m)-convex modified functions by utilizing a different technique. These novel inequalities are also obtained by means of Power-mean, Young, and Hölder inequalities.