Quantum Hermite-Hadamard-type inequalities for functions with convex absolute values of second <mml:msup>qb</mml:msup>-derivatives

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dc.authorwosidAbbas, Mujahid/N-7652-2015
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorAbbas, Mujahid
dc.contributor.authorChu, Yu-Ming
dc.date.accessioned2021-12-01T18:50:22Z
dc.date.available2021-12-01T18:50:22Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this paper, we obtain Hermite-Hadamard-type inequalities of convex functions by applying the notion of qb-integral. We prove some new inequalities related with right-hand sides of qb-Hermite-Hadamard inequalities for differentiable functions with convex absolute values of second derivatives. The results presented in this paper are a unification and generalization of the comparable results in the literature on Hermite-Hadamard inequalities.en_US
dc.description.sponsorshipNatural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673169, 11301127, 11701176, 11626101, 11601485, 11971241]en_US
dc.description.sponsorshipThe work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11301127, 11701176, 11626101, 11601485, 11971241).en_US
dc.identifier.doi10.1186/s13662-020-03163-1
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85098854601en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13662-020-03163-1
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10866
dc.identifier.volume2021en_US
dc.identifier.wosWOS:000608040100002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofAdvances In Difference Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectq-integralen_US
dc.subjectQuantum calculusen_US
dc.subjectConvex functionen_US
dc.titleQuantum Hermite-Hadamard-type inequalities for functions with convex absolute values of second <mml:msup>qb</mml:msup>-derivativesen_US
dc.typeArticleen_US

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