Novel analysis of hermite-hadamard type integral inequalities via generalized exponential type m-convex functions

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dc.authorid0000-0001-8372-2532en_US
dc.authorid0000-0002-5438-5407en_US
dc.authorid0000-0003-3363-7924en_US
dc.authorid0000-0002-1167-2430en_US
dc.contributor.authorTariq, Muhammad
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorCesarano, Clemente
dc.contributor.authorAbu-Zinadah, Hanaa
dc.contributor.authorAbouelregal, Ahmed E.
dc.contributor.authorAskar, Sameh
dc.date.accessioned2023-03-14T11:02:24Z
dc.date.available2023-03-14T11:02:24Z
dc.date.issued2022en_US
dc.departmentRektörlük, Bilişim Teknolojileri Uygulama ve Araştırma Merkezien_US
dc.description.abstractThe theory of convexity has a rich and paramount history and has been the interest of intense research for longer than a century in mathematics. It has not just fascinating and profound outcomes in different branches of engineering and mathematical sciences, it also has plenty of uses because of its geometrical interpretation and definition. It also provides numerical quadrature rules and tools for researchers to tackle and solve a wide class of related and unrelated problems. The main focus of this paper is to introduce and explore the concept of a new family of convex functions namely generalized exponential type m-convex functions. Further, to upgrade its numerical significance, we present some of its algebraic properties. Using the newly introduced definition, we investigate the novel version of Hermite-Hadamard type integral inequality. Furthermore, we establish some integral identities, and employing these identities, we present several new Hermite-Hadamard H-H type integral inequalities for generalized exponential type m-convex functions. These new results yield some generalizations of the prior results in the literature.en_US
dc.identifier.doi10.3390/math10010031en_US
dc.identifier.issue1en_US
dc.identifier.urihttps://hdl.handle.net/11467/6428
dc.identifier.urihttps://doi.org/10.3390/math10010031
dc.identifier.volume10en_US
dc.identifier.wosWOS:000759139800001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
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.subjectconvex function, Holder's inequality, power-mean integral inequality, m-type convexity, exponential convex functionen_US
dc.titleNovel analysis of hermite-hadamard type integral inequalities via generalized exponential type m-convex functionsen_US
dc.typeArticleen_US

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