A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions

dc.authoridBudak, Huseyin/0000-0001-8843-955X
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorZhang, Zhiyue
dc.date.accessioned2021-12-01T18:48:47Z
dc.date.available2021-12-01T18:48:47Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this paper, we prove two identities involving quantum derivatives, quantum integrals, and certain parameters. Using the newly proved identities, we prove new inequalities of Simpson's and Newton's type for quantum differentiable convex functions under certain assumptions. Moreover, we discuss the special cases of our main results and obtain some new and existing Simpson's type inequalities, Newton's type inequalities, midpoint type inequalities, and trapezoidal type inequalities.en_US
dc.description.sponsorshipNational Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11971241]en_US
dc.description.sponsorshipNational Natural Science Foundation of China, Grant/Award Number: 11971241en_US
dc.identifier.doi10.1002/mma.7889
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.scopus2-s2.0-85117687946en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1002/mma.7889
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10604
dc.identifier.wosWOS:000710085000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods In The Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectconvex functionsen_US
dc.subjectNewton's inequalitiesen_US
dc.subjectquantum calculusen_US
dc.subjectSimpson's inequalitiesen_US
dc.subjectMidpoint-Type Inequalitiesen_US
dc.subjectHermite-Hadamard Inequalitiesen_US
dc.subjectIntegral-Inequalitiesen_US
dc.titleA new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functionsen_US
dc.typeArticleen_US

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