New quantum variants of Simpson-newton type inequalities via (?, m)-convexity

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dc.authoridButt, Saad Ihsan/0000-0001-7192-8269en_US
dc.authorscopusid55253111500en_US
dc.authorscopusid57220388160en_US
dc.authorscopusid57038541500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidButt, Saad Ihsan/ITT-3431-2023en_US
dc.contributor.authorButt, Saad Ihsan
dc.contributor.authorUl Ain, Qurat
dc.contributor.authorBudak, Hüseyin
dc.date.accessioned2024-08-23T16:04:14Z
dc.date.available2024-08-23T16:04:14Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstract. In this article, we will utilize (a, m)-convexity to create a new form of Simpson-Newton inequalities in quantum calculus by using qe1-integral and qe1derivative. Newly discovered inequalities can be transformed into quantum Newton and quantum Simpson for generalized convexity. Additionally, this article demonstrates how some recently created inequalities are simply the extensions of some previously existing inequalities. The main findings are generalizations of numerous results that already exist in the literature, and some fundamental inequalities, such as Holder's and Power mean, have been used to acquire new bounds.en_US
dc.identifier.doi10.11568/kjm.2023.31.2.161
dc.identifier.endpage180en_US
dc.identifier.issn1976-8605
dc.identifier.issn2288-1433
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85174250248en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage161en_US
dc.identifier.urihttps://doi.org/10.11568/kjm.2023.31.2.161
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14103
dc.identifier.volume31en_US
dc.identifier.wosWOS:001025693700006en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherKangwon-Kyungki Mathematical Socen_US
dc.relation.ispartofKorean Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSimpson's inequalityen_US
dc.subjectNewton's inequalityen_US
dc.subjectQuantum calculusen_US
dc.subject(& alphaen_US
dc.subjectm)-convexityen_US
dc.titleNew quantum variants of Simpson-newton type inequalities via (?, m)-convexityen_US
dc.typeArticleen_US

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