<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we introduce a new class of generalized convex functions called (<italic>h, r</italic>)-preinvex functions, and establish some new Hermite-Hadamard type inequalities under (<italic>h, r</italic>)-preinvexity.</p>
</abstract>

In this paper, we introduce a new class of generalized convex functions called (h, r)-preinvex functions, and establish some new Hermite-Hadamard type inequalities under (h, r)-preinvexity.

Hermite-Hadamard’s inequalities for (<italic>h, r</italic>)-preinvex functions

Laboratoire des télécommunications Faculté des Sciences

Laboratory of advanced materials.University of Badji Mokhtar of Annaba Faculty of sciences

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Hermite-Hadamard’s inequalities for ()-preinvex functions

In this paper, we introduce a new class of generalized convex functions called (h, r)-preinvex functions, and establish some new Hermite-Hadamard type...

Hermite-Hadamard’s inequalities for (h, r)-preinvex functions

Published Online: Nov 24, 2023

Page range: 33 - 54

Received: Jul 14, 2020

Accepted: May 23, 2022

DOI: https://doi.org/10.2478/gm-2022-0003

Keywords
Hermite-Hadamard inequality, preinvex functions, ()- preinvex functions

© 2022 Badreddine Meftah et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Hermite-Hadamard’s inequalities for (h, r)-preinvex functions

Published Online: Nov 24, 2023

Page range: 33 - 54

Received: Jul 14, 2020

Accepted: May 23, 2022

DOI: https://doi.org/10.2478/gm-2022-0003

KeywordsHermite-Hadamard inequality, preinvex functions, ()- preinvex functions

© 2022 Badreddine Meftah et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Hermite-Hadamard inequality, preinvex functions, ()- preinvex functions