A Study on the New Class of Inequalities of Midpoint-Type and Trapezoidal-Type Based on Twice Differentiable Functions with Conformable Operators

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dc.authoridKaabar, Mohammed K A/0000-0003-2260-0341en_US
dc.authoridAlzabut, Jehad/0000-0002-5262-1138en_US
dc.authoridEtemad, Sina/0000-0002-1574-1800en_US
dc.authoridAhmad, Hijaz/0000-0002-5438-5407en_US
dc.authoridRezapour, Shahram/0000-0003-3463-2607en_US
dc.authoridKARA, Hasan/0000-0002-2075-944Xen_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authorscopusid57208224500en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid56594607200en_US
dc.authorscopusid55935081600en_US
dc.authorscopusid57220768187en_US
dc.authorscopusid57218875241en_US
dc.authorwosidKaabar, Mohammed K A/O-4458-2018en_US
dc.authorwosidAlzabut, Jehad/T-8075-2018en_US
dc.authorwosidEtemad, Sina/AAV-8100-2021en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidAhmad, Hijaz/H-5958-2018en_US
dc.authorwosidRezapour, Shahram/N-4883-2016en_US
dc.contributor.authorKara, Hasan
dc.contributor.authorBudak, Hueseyin
dc.contributor.authorEtemad, Sina
dc.contributor.authorRezapour, Shahram
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorKaabar, Mohammed K. A.
dc.date.accessioned2024-08-23T16:04:14Z
dc.date.available2024-08-23T16:04:14Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis paper derives some equalities via twice differentiable functions and conformable fractional integrals. With the help of the obtained identities, we present new trapezoid-type and midpoint-type inequalities via convex functions in the context of the conformable fractional integrals. New inequalities are obtained by taking advantage of the convexity property, power mean inequality, and Holder's inequality. We show that this new family of inequalities generalizes some previous research studies by special choices. Furthermore, new other relevant results with trapezoid-type and midpoint-type inequalities are obtained.en_US
dc.identifier.doi10.1155/2023/4624604
dc.identifier.issn2314-8896
dc.identifier.issn2314-8888
dc.identifier.scopus2-s2.0-85161900351en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1155/2023/4624604
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14105
dc.identifier.volume2023en_US
dc.identifier.wosWOS:001006930100001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofJournal of Function Spacesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGeneralized Fractional Derivativesen_US
dc.subjectHermite-Hadamarden_US
dc.subjectReal Numbersen_US
dc.subjectIntegralsen_US
dc.subjectMappingsen_US
dc.titleA Study on the New Class of Inequalities of Midpoint-Type and Trapezoidal-Type Based on Twice Differentiable Functions with Conformable Operatorsen_US
dc.typeArticleen_US

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