Article
Hermite-Hadamard-Type Inequalities for Conformable Integrals
Hacettepe Journal of Mathematics and Statistics
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.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Conformable Integral,
- Convex Function,
- Hermite-Hadamard Inequality
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2022, All rights reserved.
Publication Date
1-1-2022
Publication Date
01 Jan 2022
Disciplines
Citation Information
Martin Bohner, Artion Kashuri, Pshtiwan Othman Mohammed and Juan E.Nápoles Valdés. "Hermite-Hadamard-Type Inequalities for Conformable Integrals" Hacettepe Journal of Mathematics and Statistics Vol. 51 Iss. 3 (2022) p. 775 - 786 ISSN: 2651-477X Available at: http://works.bepress.com/martin-bohner/225/