Hermite–Hadamard-type inequalities for conformable integrals

In this study, some inequalities of Hermite–Hadamard type for integrals arising in con- formable 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 in- tegrals as well. Num...

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Autores principales: Bohner, Martin, Kashuri, Artion, Mohammed, Pshtiwan Othman, Nápoles Valdés, Juan Eduardo
Formato: Artículo
Lenguaje:Inglés
Publicado: Hacettepe University 2026
Materias:
Hermite–Hadamard inequality
Convex function
Conformable integral
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60015
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RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60015
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spelling I48-R184-123456789-600152026-02-12T10:13:38Z Hermite–Hadamard-type inequalities for conformable integrals Bohner, Martin Kashuri, Artion Mohammed, Pshtiwan Othman Nápoles Valdés, Juan Eduardo Hermite–Hadamard inequality Convex function Conformable integral In this study, some inequalities of Hermite–Hadamard type for integrals arising in con- formable 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 in- tegrals 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. 2026-02-10T14:52:43Z 2026-02-10T14:52:43Z 2022-06 Artículo Bohner, Martin, et al., 2022. Hermite–Hadamard-type inequalities for conformable integrals. Hacettepe Journal of Mathematics and Statistics. Ankara: Hacettepe University, vol. 52, no. 3, p. 775-786. E-ISSN 2651-477X. http://repositorio.unne.edu.ar/handle/123456789/60015 eng https://doi.org/10.15672/hujms.946069 openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 775-786 application/pdf Hacettepe University Hacettepe Journal of Mathematics and Statistics, 2022, vol. 51, no. 3, p. 775-786.
institution Universidad Nacional del Nordeste
institution_str I-48
repository_str R-184
collection RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
language Inglés
topic Hermite–Hadamard inequality
Convex function
Conformable integral
spellingShingle Hermite–Hadamard inequality
Convex function
Conformable integral
Bohner, Martin
Kashuri, Artion
Mohammed, Pshtiwan Othman
Nápoles Valdés, Juan Eduardo
Hermite–Hadamard-type inequalities for conformable integrals
topic_facet Hermite–Hadamard inequality
Convex function
Conformable integral
description In this study, some inequalities of Hermite–Hadamard type for integrals arising in con- formable 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 in- tegrals 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.
format Artículo
author Bohner, Martin
Kashuri, Artion
Mohammed, Pshtiwan Othman
Nápoles Valdés, Juan Eduardo
author_facet Bohner, Martin
Kashuri, Artion
Mohammed, Pshtiwan Othman
Nápoles Valdés, Juan Eduardo
author_sort Bohner, Martin
title Hermite–Hadamard-type inequalities for conformable integrals
title_short Hermite–Hadamard-type inequalities for conformable integrals
title_full Hermite–Hadamard-type inequalities for conformable integrals
title_fullStr Hermite–Hadamard-type inequalities for conformable integrals
title_full_unstemmed Hermite–Hadamard-type inequalities for conformable integrals
title_sort hermite–hadamard-type inequalities for conformable integrals
publisher Hacettepe University
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60015
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AT kashuriartion hermitehadamardtypeinequalitiesforconformableintegrals
AT mohammedpshtiwanothman hermitehadamardtypeinequalitiesforconformableintegrals
AT napolesvaldesjuaneduardo hermitehadamardtypeinequalitiesforconformableintegrals
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