New symmetric midpoint type inequalities for convex functions

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dc.authoridBudak, Huseyin/0000-0001-8843-955X
dc.authoridHussain, Rashida/0000-0003-4507-6255;
dc.contributor.authorHussain, Rashida
dc.contributor.authorGulshan, Ghazala
dc.contributor.authorRehman, Amara
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2025-10-11T20:47:53Z
dc.date.available2025-10-11T20:47:53Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this study, we first develop symmetric quantum integral identity utilizing the derivatives and integrals of symmetric quantum types. Then, by using this identity, we establish modified versions of midpoint-type inequalities for differentiable convex functions. To obtain recent results, a few basic inequalities such as power mean and Holder's, have been utilized. We create links between our results and previous findings in the literature taking q -> 1. For a better understanding and validation of the results, we present numerical results and some graphs. Finally, we provide some examples to illustrate the validity of newly obtained symmetric quantum inequalities. The concepts and methods presented in this work can inspire more investigation.en_US
dc.identifier.doi10.2298/FIL2504389H
dc.identifier.endpage1406en_US
dc.identifier.issn0354-5180
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-86000306921en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1389en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2504389H
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21632
dc.identifier.volume39en_US
dc.identifier.wosWOS:001470405000023en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectFractional conformable integralsen_US
dc.subjectfractional conformable derivativeen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.titleNew symmetric midpoint type inequalities for convex functionsen_US
dc.typeArticleen_US

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