Hermite–Hadamard Framework for (h,m)-Convexity

This work presents generalizations and extensions of previous results by incorporating weighted integrals and a refined class of second-type (h,m)-convex functions. By utilizing classical inequalities, such as those of Hölder and Young and the Power Mean, we establish new Hermite–Hadamard-type inequalities. The findings offer a broader and more flexible analytical framework, enhancing existing results in the literature. Potential applications of the developed inequalities are also explored.