Journal
Turkish Journal of Science
Volume & Issue
Volume 7, Issue 3
Published on
December 15, 2022
Pages
185-201
DOI
Article
New Variants of Hermite-Hadamard Type Inequalities via Generalized Fractional Operator for Differentiable Functions
Authors
Jamshed Nasir,Saad Ihsan Butt,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.