On Some New Maclaurin's Type Inequalities for Convex Functions in q-Calculus

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dc.authoridSitthiwirattham, Thanin/0000-0002-8455-1402en_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authorscopusid36626202600en_US
dc.authorscopusid57199279462en_US
dc.authorscopusid57038541500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorSitthiwirattham, Thanin
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2024-08-23T16:03:37Z
dc.date.available2024-08-23T16:03:37Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis work establishes some new inequalities to find error bounds for Maclaurin's formulas in the framework of q-calculus. For this, we first prove an integral identity involving q-integral and q-derivative. Then, we use this new identity to prove some q-integral inequalities for q-differentiable convex functions. The inequalities proved here are very important in the literature because, with their help, we can find error bounds for Maclaurin's formula in both q and classical calculus.en_US
dc.description.sponsorshipNSRF via the Program Management Unit for Human Resources and Institutional Development, Research and Innovation [B05F640163]; National Natural Science Foundation of China [11971241]en_US
dc.description.sponsorshipThis research has received funding support from the NSRF via the Program Management Unit for Human Resources and Institutional Development, Research and Innovation [grant number B05F640163]. This work was also partially supported by National Natural Science Foundation of China (No. 11971241).en_US
dc.identifier.doi10.3390/fractalfract7080572
dc.identifier.issn2504-3110
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85169035685en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract7080572
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13821
dc.identifier.volume7en_US
dc.identifier.wosWOS:001056109400001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractal And Fractionalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMaclaurin's inequalitiesen_US
dc.subjectHermite-Hadamard inequalitiesen_US
dc.subjectconvex functionsen_US
dc.subjectq-calculusen_US
dc.subjectIntegral-Inequalitiesen_US
dc.subjectMidpointen_US
dc.titleOn Some New Maclaurin's Type Inequalities for Convex Functions in q-Calculusen_US
dc.typeArticleen_US

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