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 H?lder inequalities.
Valdés et al. (Wed,) studied this question.