New Hermite-Hadamard and Ostrowski-Type Inequalities for Newly Introduced Co-Ordinated Convexity with Respect to a Pair of Functions

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dc.authoridEtemad, Sina/0000-0002-1574-1800
dc.authoridRezapour, Shahram/0000-0003-3463-2607
dc.authoridBudak, Hüseyin/0000-0001-8843-955X
dc.authoridWANNALOOKKHEE, FONGCHAN/0000-0002-9570-3010
dc.authorwosidEtemad, Sina/AAV-8100-2021
dc.authorwosidRezapour, Shahram/N-4883-2016
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorWannalookkhee, Fongchan
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorEtemad, Sina
dc.contributor.authorRezapour, Shahram
dc.date.accessioned2023-07-26T11:54:01Z
dc.date.available2023-07-26T11:54:01Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn both pure and applied mathematics, convex functions are used in many different problems. They are crucial to investigate both linear and non-linear programming issues. Since a convex function is one whose epigraph is a convex set, the theory of convex functions falls under the umbrella of convexity. However, it is a significant theory that affects practically all areas of mathematics. In this paper, we introduce the notions of (g, h)-convexity or convexity with respect to a pair of functions on co-ordinates and discuss its fundamental properties. Moreover, we establish some novel Hermite-Hadamard- and Ostrowski-type inequalities for newly introduced co-ordinated convexity. Additionally, it is presented that the newly introduced notion of the convexity and given inequalities are generalizations of existing studies in the literature. Lastly, we look at various mathematical examples and graphs to confirm the validity of the newly found inequalities.en_US
dc.identifier.doi10.3390/math10193469
dc.identifier.issn2227-7390
dc.identifier.issue19en_US
dc.identifier.scopus2-s2.0-85139771463en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/math10193469
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12697
dc.identifier.volume10en_US
dc.identifier.wosWOS:000867049500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofMathematicsen_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 Inequality; Ostrowski Inequalities; Convex Functions; Co-Ordinated Convex Functionen_US
dc.subjectGronwall Inequalityen_US
dc.titleNew Hermite-Hadamard and Ostrowski-Type Inequalities for Newly Introduced Co-Ordinated Convexity with Respect to a Pair of Functionsen_US
dc.typeArticleen_US

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