Some Milne's rule type inequalities in quantum calculus

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dc.authorscopusid57218993985en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid57199279462en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorSial, Ifra Bashir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorAli, Muhammad Aamir
dc.date.accessioned2024-08-23T16:03:48Z
dc.date.available2024-08-23T16:03:48Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe main goal of the current study is to establish some new Milne's rule type inequalities for single-time differentiable convex functions in the setting of quantum calculus. For this, we establish a quantum integral identity and then we prove some new inequalities of Milne's rule type for quantum differentiable convex functions. These inequalities are very important in Open-Newton's Cotes formulas because, with the help of these inequalities, we can find the bounds of Milne's rule for differentiable convex functions in classical or quantum calculus. The method adopted in this work to prove these inequalities are very easy and less conditional compared to some existing results. Finally, we give some mathematical examples to show the validity of newly established inequalities.en_US
dc.description.sponsorshipNational Natural Science Foundation of China [11971241]en_US
dc.description.sponsorshipThis research was also partially supported by the National Natural Science Foundation of China 11971241.en_US
dc.identifier.doi10.2298/FIL2327119S
dc.identifier.endpage9134en_US
dc.identifier.issn0354-5180
dc.identifier.issue27en_US
dc.identifier.scopus2-s2.0-85168104859en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage9119en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2327119S
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13897
dc.identifier.volume37en_US
dc.identifier.wosWOS:001050189000001en_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.subjectHermite-Hadamard inequalityen_US
dc.subjectJensen-inequalityen_US
dc.subjectconvex interval-valued functionsen_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectConvex-Functionsen_US
dc.subjectReal Numbersen_US
dc.subjectMidpointen_US
dc.titleSome Milne's rule type inequalities in quantum calculusen_US
dc.typeArticleen_US

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