New Variants of Hermite-Hadamard Type Inequalities via Generalized Fractional Operator for Differentiable Functions

Year 2022, Volume: 7 Issue: 3, 185 - 201, 30.12.2022

Jamshed Nasir , Professor Dr. , Mustafa Ali Dokuyucu , Ahmet Ocak Akdemir

Abstract

The main motivation of this study is to present new Hermite-Hadamard (HH) type inequalities via a certain fractional operators. We establish two new identities and give new estimations of HH- type inequalities for differentiable and convex mapping via Katugampola-fractional operators. 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. These results can be extended to different kinds of convex functions as well as pre-invex functions.

Keywords

Convex functions, Hermite-Hadamard inequalities, Katugampola-fractional integrals

References

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