On generalizations of quantum Simpson's and quantum Newton's inequalities with some parameters

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dc.authorwosidAbbas, Mujahid/N-7652-2015
dc.contributor.authorPromsakon, Chanon
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorAbbas, Mujahid
dc.contributor.authorMuhammad, Faheem
dc.contributor.authorSitthiwirattham, Thanin
dc.date.accessioned2021-12-01T18:51:02Z
dc.date.available2021-12-01T18:51:02Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this paper, we prove two identities concerning quantum derivatives, quantum integrals, and some parameters. Using the newly proved identities, we prove new Simpson's and Newton's type inequalities for quantum differentiable convex functions with two and three parameters, respectively. We also look at the special cases of our key findings and find some new and old Simpson's type inequalities, Newton's type inequalities, midpoint type inequalities, and trapezoidal type inequalities.en_US
dc.description.sponsorshipKing Mongkut's University of Technology North Bangkoken_US
dc.description.sponsorshipThis research was funded by King Mongkut's University of Technology North Bangkok. Contract no.KMUTNB-63-KNOW-22.en_US
dc.identifier.doi10.3934/math.2021807
dc.identifier.endpage13975en_US
dc.identifier.issn2473-6988
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85115886015en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage13954en_US
dc.identifier.urihttps://doi.org/10.3934/math.2021807
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10960
dc.identifier.volume6en_US
dc.identifier.wosWOS:000713623700050en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAims Mathematicsen_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.subjectIntegral-Inequalitiesen_US
dc.subjectConvexen_US
dc.titleOn generalizations of quantum Simpson's and quantum Newton's inequalities with some parametersen_US
dc.typeArticleen_US

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