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Certain midpoint-type Feje acute accent r and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel

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dc.contributor.author Botmart, Thongchai
dc.contributor.author Sahoo, Soubhagya Kumar
dc.contributor.author Kodamasingh, Bibhakar
dc.contributor.author Latif, Muhammad Amer
dc.contributor.author Jarad, Fahd
dc.contributor.author Kashuri, Artion
dc.date.accessioned 2023-11-28T12:59:30Z
dc.date.available 2023-11-28T12:59:30Z
dc.date.issued 2023
dc.identifier.citation Botmart, Thongchai...et.al. (2023). "Certain midpoint-type Feje acute accent r and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel", AIMS Mathematics, Vol.8, No.3, pp.5616-5638. tr_TR
dc.identifier.issn 2473-6988
dc.identifier.uri http://hdl.handle.net/20.500.12416/6672
dc.description.abstract In this paper, using positive symmetric functions, we offer two new important identities of fractional integral form for convex and harmonically convex functions. We then prove new variants of the Hermite-Hadamard-Fejer type inequalities for convex as well as harmonically convex functions via fractional integrals involving an exponential kernel. Moreover, we also present improved versions of midpoint type Hermite-Hadamard inequality. Graphical representations are given to validate the accuracy of the main results. Finally, applications associated with matrices, q-digamma functions and modifed Bessel functions are also discussed. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2023283 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Hermite-Hadamard-Fejér Inequalities tr_TR
dc.subject Convex Function tr_TR
dc.subject Harmonically Convex Function tr_TR
dc.subject Fractional Integral Operators tr_TR
dc.subject Matrices tr_TR
dc.subject Q-Digamma Functions tr_TR
dc.subject Modifed Bessel Functions tr_TR
dc.title Certain midpoint-type Feje acute accent r and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 5616 tr_TR
dc.identifier.endpage 5638 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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