On new refinements and generalizations of Q-Hermite-Hadamard inequalities for convex functions

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dc.authorscopusid57210673345en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid35303422100en_US
dc.authorscopusid57199279462en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorAlp, Necmettin
dc.contributor.authorBudak, Huseyin
dc.contributor.authorSarikaya, Mehmet Zeki
dc.contributor.authorAli, Muhammad Aamir
dc.date.accessioned2024-08-23T16:04:03Z
dc.date.available2024-08-23T16:04:03Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractWe aim to prove generalized estimations for the q-Hermite-Hadamard inequality for convex functions using a parameter. By choosing this particular parameter, we show that our results reduce the previously obtained q-Hermite-Hadamard inequalities. We also present some new refinements of these q-Hermite- Hadamard inequalities. Furthermore, we establish a new lemma and, by using this lemma, we obtain some new quantum inequalities that generalize quantum midpoint and quantum trapezoid inequalities for convex functions.en_US
dc.identifier.doi10.1216/rmj.2024.54.361
dc.identifier.endpage374en_US
dc.identifier.issn0035-7596
dc.identifier.issn1945-3795
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85193721748en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage361en_US
dc.identifier.urihttps://doi.org/10.1216/rmj.2024.54.361
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14039
dc.identifier.volume54en_US
dc.identifier.wosWOS:001235100700022en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherRocky Mt Math Consortiumen_US
dc.relation.ispartofRocky Mountain Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectq-derivativeen_US
dc.subjectq-integral inequalitiesen_US
dc.subjectquantum calculusen_US
dc.subjectconvexityen_US
dc.subjectMidpoint Type Inequalitiesen_US
dc.subjectIntegral-Inequalitiesen_US
dc.titleOn new refinements and generalizations of Q-Hermite-Hadamard inequalities for convex functionsen_US
dc.typeArticleen_US

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