Turkish Journal of Science
Journal license

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

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Authors

Jamshed Nasir Affiliation:
COMSATS University of Islamabad, Lahore Campus, Lahore, Pakistan
, Saad Ihsan Butt Affiliation:
COMSATS University of Islamabad, Lahore Campus, Lahore, Pakistan
, Mustafa Ali Dokuyucu Affiliation:
Department of Mathematics, Faculty of Science and Letters, Agri Ibrahim Cecen University, Agri, Turkey
and Ahmet Ocak Akdemir Affiliation:
Department of Mathematics, Faculty of Science and Letters, Agri Ibrahim Cecen University, Agri, Turkey


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.


Citation

Nasir, J., Butt, S. I., Dokuyucu, M. A., & Akdemir, A. O. (2022). New variants of hermite-hadamard type inequalities via generalized fractional operator for differentiable functions. Turkish Journal of Science, 7(3), 185–201. https://doi.org/10.66833/TJOS-2022-0018

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