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On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel

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dc.contributor.author Kavurmacı Önalan, Havva
dc.contributor.author Akdemir, Ahmet Ocak
dc.contributor.author Avcı Ardıç, Merve
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-11-10T10:47:37Z
dc.date.available 2022-11-10T10:47:37Z
dc.date.issued 2021
dc.identifier.citation Kavurmacı Önalan, Havva...et al. (2021). "On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel", Journal of Inequalities and Applications, Vol. 2021, No. 1. tr_TR
dc.identifier.issn 1025-5834
dc.identifier.uri http://hdl.handle.net/20.500.12416/5842
dc.description.abstract The main motivation of this study is to bring together the field of inequalities with fractional integral operators, which are the focus of attention among fractional integral operators with their features and frequency of use. For this purpose, after introducing some basic concepts, a new variant of Hermite–Hadamard (HH-) inequality is obtained for s-convex functions in the second sense. Then, an integral equation, which is important for the main findings, is proved. With the help of this integral equation that includes fractional integral operators with Mittag-Leffler kernel, many HH-type integral inequalities are derived for the functions whose absolute values of the second derivatives are s-convex and s-concave. Some classical inequalities and hypothesis conditions, such as Hölder’s inequality and Young’s inequality, are taken into account in the proof of the findings. © 2021, The Author(s). tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13660-021-02721-9 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Atangana–Baleanu Integral Operators tr_TR
dc.subject Euler Gamma Function tr_TR
dc.subject Hermite–Hadamard Inequality tr_TR
dc.subject Hölder Inequality tr_TR
dc.subject Incomplete Beta Function tr_TR
dc.subject Normalization Function tr_TR
dc.subject S-Convex Functions tr_TR
dc.title On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Inequalities and Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2021 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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