Some New Fractional Hermite-Hadamard type Inequalities For Generalized Class of Godunova-Levin Functions By Means of Interval Center-Radius Order Relation with Applications

The purpose of this article is to establish several new forms of Hermite-Hadamard inequalities by utilizing fractional integral operators via a totally interval midpoint-radius order relation for differentiable Godunova-Levin mappings. Moreover, in order to verify our main results, we construct some non-trivial examples and remarks that lead to other generalized convex mappings with different settings. Furthermore, we exploit special cases of Hölder’s, Young’s, and Minkowski-type inequalities in order to develop new bounds of Hermite-Hadamard inequality. Finally, we relate our key results with special means and demonstrate some of their applications.