Jensen-Mercer Type Inequalities in the Setting of Fractional Calculus with Applications

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dc.authoridBin Mohsin, Bandar/0000-0002-2160-4159
dc.authoridNoor, Muhammad/0000-0001-6105-2435
dc.authoridBudak, Hüseyin/0000-0001-8843-955X
dc.authoridAwan, Muhammad Uzair/0000-0002-1019-9485
dc.authoridJaved, Muhammad Zakria/0000-0001-5212-6252
dc.authorwosidBin Mohsin, Bandar/C-7273-2018
dc.authorwosidNoor, Muhammad/AAF-1238-2019
dc.contributor.authorBin Mohsin, Bandar
dc.contributor.authorJaved, Muhammad Zakria
dc.contributor.authorAwan, Muhammad Uzair
dc.contributor.authorMihai, Marcela, V
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorKhan, Awais Gul
dc.contributor.authorNoor, Muhammad Aslam
dc.date.accessioned2023-07-26T11:50:52Z
dc.date.available2023-07-26T11:50:52Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe main objective of this paper is to establish some new variants of the Jensen-Mercer inequality via harmonically strongly convex function. We also propose some new fractional analogues of Hermite-Hadamard-Jensen-Mercer-like inequalities using AB fractional integrals. In order to obtain some of our main results, we also derive new fractional integral identities. To demonstrate the significance of our main results, we present some interesting applications to special means and to error bounds as well.en_US
dc.description.sponsorshipKing Saud University, Riyadh, Saudi Arabia [RSP-2021/158]en_US
dc.description.sponsorshipBandar Bin-Mohsin is supported by Researchers Supporting Project number (RSP-2021/158), King Saud University, Riyadh, Saudi Arabia.en_US
dc.identifier.doi10.3390/sym14102187
dc.identifier.issn2073-8994
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85140918540en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/sym14102187
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12446
dc.identifier.volume14en_US
dc.identifier.wosWOS:000873517700001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofSymmetry-Baselen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectHermite-Hadamard-Mercer Inequality; Holder's Inequality; Riemann-Liouville Fractional Integrals; Harmonic Convex Function; Special Means; Error Estimationen_US
dc.subjectConvex-Functions; Exponential Kernel; Hermite-Hadamarden_US
dc.titleJensen-Mercer Type Inequalities in the Setting of Fractional Calculus with Applicationsen_US
dc.typeArticleen_US

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