Hermite–Hadamard-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Godunova–Levin and (h1, h2)-Convex Functions
dc.contributor.author | Afzal, Waqar | |
dc.contributor.author | Abbas, Mujahid | |
dc.contributor.author | Hamali, Waleed | |
dc.contributor.author | Mahnashi, Ali M. | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.date.accessioned | 2023-10-02T17:14:32Z | |
dc.date.available | 2023-10-02T17:14:32Z | |
dc.date.issued | 2023-09-15 | |
dc.identifier.citation | Fractal and Fractional 7(9) : (2023) // Article ID 687 | es_ES |
dc.identifier.issn | 2504-3110 | |
dc.identifier.uri | http://hdl.handle.net/10810/62728 | |
dc.description.abstract | This note generalizes several existing results related to Hermite–Hadamard inequality using h-Godunova–Levin and (ℎ1,ℎ2)-convex functions using a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. This study uses a non-singular kernel and constructs some new theorems associated with fractional order integrals. Furthermore, we demonstrate that the obtained results are a generalization of the existing ones. To demonstrate the correctness of these results, we developed a few interesting non-trivial examples. Finally, we discuss some applications of our findings associated with special means. | es_ES |
dc.description.sponsorship | This research work was funded by the Basque Government, Grant IT 1555-22. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | h-Godunova–Levin | es_ES |
dc.subject | (h1, h2)-convexity | es_ES |
dc.subject | Hermite–Hadamard inequality | es_ES |
dc.subject | Caputo–Fabrizio operator | es_ES |
dc.title | Hermite–Hadamard-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Godunova–Levin and (h1, h2)-Convex Functions | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2023-09-27T12:36:27Z | |
dc.rights.holder | © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2504-3110/7/9/687 | es_ES |
dc.identifier.doi | 10.3390/fractalfract7090687 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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Except where otherwise noted, this item's license is described as © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).