Some New Simpson's and Newton's Formulas Type Inequalities for Convex Functions in Quantum Calculus

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dc.authoridSitthiwirattham, Thanin/0000-0002-8455-1402
dc.authoriderden, samet/0000-0001-8430-7533
dc.authoridBudak, Huseyin/0000-0001-8843-955X
dc.authorwosidSitthiwirattham, Thanin/Q-4043-2019
dc.contributor.authorSiricharuanun, Pimchana
dc.contributor.authorErden, Samet
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorChasreechai, Saowaluck
dc.contributor.authorSitthiwirattham, Thanin
dc.date.accessioned2021-12-01T18:51:00Z
dc.date.available2021-12-01T18:51:00Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this paper, using the notions of q(kappa 2)-quantum integral and q(kappa 2)-quantum derivative, we present some new identities that enable us to obtain new quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions. This paper, in particular, generalizes and expands previous findings in the field of quantum and classical integral inequalities obtained by various authors.en_US
dc.description.sponsorshipDepartment of Mathematics, Faculty of Science, Kasetsart University - King Mongkut's University of Technology North Bangkok [KMUTNB-64-KNOW-42]en_US
dc.description.sponsorshipThe first author would like to thank the Department of Mathematics, Faculty of Science, Kasetsart University.; This research was funded by King Mongkut's University of Technology North Bangkok. Contract no. KMUTNB-64-KNOW-42.en_US
dc.identifier.doi10.3390/math9161992
dc.identifier.issn2227-7390
dc.identifier.issue16en_US
dc.identifier.scopus2-s2.0-85113585628en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/math9161992
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10955
dc.identifier.volume9en_US
dc.identifier.wosWOS:000689358500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofMathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSimpson's inequalitiesen_US
dc.subjectNewton's inequalitiesen_US
dc.subjectquantum calculusen_US
dc.subjectconvex functionsen_US
dc.subjectMidpoint-Type Inequalitiesen_US
dc.subjectHermite-Hadamard Inequalitiesen_US
dc.titleSome New Simpson's and Newton's Formulas Type Inequalities for Convex Functions in Quantum Calculusen_US
dc.typeArticleen_US

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