Hermite-Hadamard and Fejer’s Type Inequalities For product of Different Convex Functions

Abstract

One of the numerous ways for getting a new convex function from the given functions is to combine these functions by applying certain constraints on these functions. The fact that the product of two or a limited number of convex functions does not have to be convex and, therefore, motivates us to this study of merging different convex functions. This innovative approach of combining convex functions leads to new applications in a variety of domains, including mathematics as well as other fields. The concept of merging more than two convex functions is explored in this work in order to establish Hermite-Hadamard and Fejer's inequalities. These given inequalities can be considered as refinements and improvements to previously established results.