New Estimates for Hermite-Hadamard Inequality in Quantum Calculus via (alpha, m) Convexity

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dc.authoridBUTT, Saad Ihsan/0000-0001-7192-8269
dc.authorwosidBUTT, Saad Ihsan/ABF-8243-2020
dc.contributor.authorXu, Peng
dc.contributor.authorButt, Saad Ihsan
dc.contributor.authorUl Ain, Qurat
dc.contributor.authorBudak, Hüseyin
dc.date.accessioned2023-07-26T11:54:13Z
dc.date.available2023-07-26T11:54:13Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis study provokes the existence of quantum Hermite-Hadamard inequalities under the concept of q-integral. We analyse and illustrate a new identity for the differentiable function mappings whose second derivatives in absolute value are (alpha, m) convex. Some basic inequalities such as Holder's and Power mean have been used to obtain new bounds and it has been determined that the main findings are generalizations of many results that exist in the literature. We make links between our findings and a number of well-known discoveries in the literature. The conclusion in this study unify and generalise previous findings on Hermite-Hadamard inequalities.en_US
dc.description.sponsorshipNational Natural Science Foundation of China [62002079]en_US
dc.description.sponsorshipThis work was funded in part by the National Natural Science Foundation of China (grant no. 62002079).en_US
dc.identifier.doi10.3390/sym14071394
dc.identifier.issn2073-8994
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85134073503en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/sym14071394
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12767
dc.identifier.volume14en_US
dc.identifier.wosWOS:000833692200001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofSymmetry-Baselen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectQuantum Calculus; Hermite-Hadamard Inequalities; (Alpha, M) Convexityen_US
dc.titleNew Estimates for Hermite-Hadamard Inequality in Quantum Calculus via (alpha, m) Convexityen_US
dc.typeArticleen_US

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