Novel Mean-Type Inequalities via Generalized Riemann-Type Fractional Integral for Composite Convex Functions: Some Special Examples
dc.contributor.author | Mukhtar, Muzammil | |
dc.contributor.author | Yaqoob, Muhammad | |
dc.contributor.author | Samraiz, Muhammad | |
dc.contributor.author | Shabbir, Iram | |
dc.contributor.author | Etemad, Sina | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.contributor.author | Rezapour, Shahram | |
dc.date.accessioned | 2023-02-27T15:31:05Z | |
dc.date.available | 2023-02-27T15:31:05Z | |
dc.date.issued | 2023-02-10 | |
dc.identifier.citation | Symmetry 15(2) : (2023) // Article ID 479 | es_ES |
dc.identifier.issn | 2073-8994 | |
dc.identifier.uri | http://hdl.handle.net/10810/60119 | |
dc.description.abstract | This study deals with a novel class of mean-type inequalities by employing fractional calculus and convexity theory. The high correlation between symmetry and convexity increases its significance. In this paper, we first establish an identity that is crucial in investigating fractional mean inequalities. Then, we establish the main results involving the error estimation of the Hermite–Hadamard inequality for composite convex functions via a generalized Riemann-type fractional integral. Such results are verified by choosing certain composite functions. These results give well-known examples in special cases. The main consequences can generalize many known inequalities that exist in other studies. | es_ES |
dc.description.sponsorship | The sixth author is grateful to the Basque Government for its support through Grants IT1555-22 and KK-2022/00090 and to MCIN/AEI 269.10.13039/501100011033 for Grant PID2021-1235430B-C21/C22. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/PID2021-1235430B-C21 | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/PID2021-1235430B-C22 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | mean inequalities | es_ES |
dc.subject | fractional integral | es_ES |
dc.subject | Hölder’s inequality | es_ES |
dc.subject | Minkowski inequality | es_ES |
dc.title | Novel Mean-Type Inequalities via Generalized Riemann-Type Fractional Integral for Composite Convex Functions: Some Special Examples | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2023-02-24T14:08:37Z | |
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/2073-8994/15/2/479 | es_ES |
dc.identifier.doi | 10.3390/sym15020479 | |
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/).