On quantum Hermite-Jensen-mercer inequalities

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dc.authorscopusid57038541500en_US
dc.authorscopusid57208224500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorKara, Hasan
dc.date.accessioned2024-08-23T16:03:51Z
dc.date.available2024-08-23T16:03:51Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractA. M. Mercer prove a new version of well-known Jensen inequality which is called Jensen-Mercer inequality [16]. By using Jensen-Mercer inequality, Kian and Moslehian establish a new variant of Hermite-Hadamard inequality which is called Hermite-Jensen-Mercer inequality [15]. In this paper, we extend the Hermite-Jensen-Mercer inequality for quantum integrals by utilizing Jensen-Mercer inequality. Then we investigate the connections between our results and those in earlier works. Moreover we give some examples to illustrate the main results in this paper. This is the first paper focusing on Hermite-Jensen-Mercer inequalities for quantum integrals.en_US
dc.identifier.doi10.18514/MMN.2023.4243
dc.identifier.endpage1257en_US
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85178141772en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1247en_US
dc.identifier.urihttps://doi.org/10.18514/MMN.2023.4243
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13949
dc.identifier.volume24en_US
dc.identifier.wosWOS:001146340300002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Miskolc Inst Mathen_US
dc.relation.ispartofMiskolc Mathematical Notesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectQuantum integralsen_US
dc.subjectJensen-Mercer inequalitiesen_US
dc.subjectHermite-Hadamard inequalitiesen_US
dc.titleOn quantum Hermite-Jensen-mercer inequalitiesen_US
dc.typeArticleen_US

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