Some New Generalizations of Integral Inequalities for Harmonical cr-(h1,h2)-Godunova–Levin Functions and Applications
dc.contributor.author | Saeed, Tareq | |
dc.contributor.author | Afzal, Waqar | |
dc.contributor.author | Abbas, Mujahid | |
dc.contributor.author | Treanţă, Savin | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.date.accessioned | 2022-12-20T14:23:53Z | |
dc.date.available | 2022-12-20T14:23:53Z | |
dc.date.issued | 2022-12-01 | |
dc.identifier.citation | Mathematics 10(23) : (2022) // Article ID 4540 | es_ES |
dc.identifier.issn | 2227-7390 | |
dc.identifier.uri | http://hdl.handle.net/10810/58901 | |
dc.description.abstract | The interval analysis is famous for its ability to deal with uncertain data. This method is useful for addressing models with data that contain inaccuracies. Different concepts are used to handle data uncertainty in an interval analysis, including a pseudo-order relation, inclusion relation, and center–radius (cr)-order relation. This study aims to establish a connection between inequalities and a cr-order relation. In this article, we developed the Hermite–Hadamard (H.H) and Jensen-type inequalities using the notion of harmonical (h1,h2)-Godunova–Levin (GL) functions via a cr-order relation which is very novel in the literature. These new definitions have allowed us to identify many classical and novel special cases that illustrate our main findings. It is possible to unify a large number of well-known convex functions using the principle of this type of convexity. Furthermore, for the sake of checking the validity of our main findings, some nontrivial examples are given. | 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 | cr-Jensen inequality | es_ES |
dc.subject | cr-Hermite–Hadamard inequality | es_ES |
dc.subject | harmonic cr-Godunova–Levin-(h1,h2) | es_ES |
dc.title | Some New Generalizations of Integral Inequalities for Harmonical cr-(h1,h2)-Godunova–Levin Functions and Applications | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2022-12-09T20:23:18Z | |
dc.rights.holder | © 2022 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/2227-7390/10/23/4540 | es_ES |
dc.identifier.doi | 10.3390/math10234540 | |
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 © 2022 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/).