Post-quantum Hermite-Hadamard type inequalities for interval-valued convex functions

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dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorMurtaza, Ghulam
dc.contributor.authorChu, Yu-Ming
dc.date.accessioned2021-12-01T18:50:01Z
dc.date.available2021-12-01T18:50:01Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this research, we introduce the notions of (p, q)-derivative and integral for interval-valued functions and discuss their fundamental properties. After that, we prove some new inequalities of Hermite-Hadamard type for interval-valued convex functions employing the newly defined integral and derivative. Moreover, we find the estimates for the newly proved inequalities of Hermite-Hadamard type. It is also shown that the results proved in this study are the generalization of some already proved research in the field of 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/s13660-021-02619-6
dc.identifier.issn1029-242X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85105049205en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13660-021-02619-6
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10813
dc.identifier.volume2021en_US
dc.identifier.wosWOS:000655454500003en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal Of Inequalities And Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subject(p, q)-integralen_US
dc.subjectQuantum calculusen_US
dc.subjectInterval-valued calculusen_US
dc.subjectInterval-valued convex functionsen_US
dc.subjectIntegral-Inequalitiesen_US
dc.subjectCalculusen_US
dc.titlePost-quantum Hermite-Hadamard type inequalities for interval-valued convex functionsen_US
dc.typeArticleen_US

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