New Quantum Mercer Estimates of Simpson-Newton-like Inequalities via Convexity

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dc.authoridNonlaopon, Kamsing/0000-0002-7469-5402
dc.authoridBUTT, Saad Ihsan/0000-0001-7192-8269
dc.authoridBudak, Hüseyin/0000-0001-8843-955X
dc.authorwosidNonlaopon, Kamsing/AAD-4363-2020
dc.authorwosidBUTT, Saad Ihsan/ABF-8243-2020
dc.contributor.authorButt, Saad Ihsan
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorNonlaopon, Kamsing
dc.date.accessioned2023-07-26T11:57:24Z
dc.date.available2023-07-26T11:57:24Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractRecently, developments and extensions of quadrature inequalities in quantum calculus have been extensively studied. As a result, several quantum extensions of Simpson's and Newton's estimates are examined in order to explore different directions in quantum studies. The main motivation of this article is the development of variants of Simpson-Newton-like inequalities by employing Mercer's convexity in the context of quantum calculus. The results also give new quantum bounds for Simpson-Newton-like inequalities through Holder's inequality and the power mean inequality by employing the Mercer scheme. The validity of our main results is justified by providing examples with graphical representations thereof. The obtained results recapture the discoveries of numerous authors in quantum and classical calculus. Hence, the results of these inequalities lead us to the development of new perspectives and extensions of prior results.en_US
dc.description.sponsorshipNational Natural Science Foundation of China [62002079]en_US
dc.description.sponsorshipThis work was funded in part by the National Natural Science Foundation of China (grant no. 62002079).en_US
dc.identifier.doi10.3390/sym14091935
dc.identifier.issn2073-8994
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85138552839en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/sym14091935
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13163
dc.identifier.volume14en_US
dc.identifier.wosWOS:000859532600001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofSymmetry-Baselen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectSimpson's Inequality; Jesnen-Mercer Inequality; Convex Functions; Quantum Calculusen_US
dc.titleNew Quantum Mercer Estimates of Simpson-Newton-like Inequalities via Convexityen_US
dc.typeArticleen_US

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