Hermite–Hadamard-Type Inequalities for Conformable Integrals

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Artion Kashuri
Pshtiwan Othman Mohammed
Juan E.Nápoles Valdés

Abstract

In this study, some inequalities of Hermite–Hadamard type for integrals arising in conformable fractional calculus are presented. In fact, the obtained inequalities are not only valid for those integrals arising in conformable fractional calculus, but for more general integrals as well. Numerous known versions are recovered as special cases. We also illustrate our findings via applications to modified Bessel functions, special means, and midpoint approximations.

Recommended Citation

M. Bohner et al., "Hermite–Hadamard-Type Inequalities for Conformable Integrals," Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 3, pp. 775 - 786, Jan 2022.

The definitive version is available at https://doi.org/10.15672/hujms.946069

Department(s)

Mathematics and Statistics

Keywords and Phrases

conformable integral; convex function; Hermite–Hadamard inequality

International Standard Serial Number (ISSN)

2651-477X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023, All rights reserved.

Publication Date

01 Jan 2022