Jensen-Mercer variant of Hermite-Hadamard (HH) type inequalities via Generalized fractional operator

Abstract

The main motivation of this study is to present new HH-Mercer type inequalities via a certain fractional operators. We establish several new identities and give Jensen-Mercer variants of HH- type inequalities for differentiable and convex mapping $\Upsilon$ via Katugampola-fractional operators. We establish connections of our results with several renowned results in literature. \\
Here, we gave new Lemmas having identities for differentiable functions and construct related inequalities. Main findings of this study would provide elegant connections and general variants of well known results established recently. In future, we are going to extend this work for coordinate convex functions. This research is open for further work by investigating such results for other class of convex functions.