Simpson and Newton type inequalities for convex functions via newly defined quantum integrals

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dc.authoridSARIKAYA, Mehmet Zeki/0000-0002-6165-9242
dc.authoridBudak, Huseyin/0000-0001-8843-955X
dc.authorwosidSARIKAYA, Mehmet Zeki/ABI-5543-2020
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorErden, Samet
dc.contributor.authorAli, Muhammad Aamir
dc.date.accessioned2021-12-01T18:49:13Z
dc.date.available2021-12-01T18:49:13Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractWe first establish two new identities, based on the kernel functions with either two section or three sections, involving quantum integrals by using new definition of quantum derivative. Then, some new inequalities related to Simpson's 1/3 formula for convex mappings are provided. In addition, Newton type inequalities, for functions whose quantum derivatives in modulus or their powers are convex, are deduced. We also mention that the results in this work generalize inequalities given in earlier study.en_US
dc.identifier.doi10.1002/mma.6742
dc.identifier.endpage390en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85088105141en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage378en_US
dc.identifier.urihttps://doi.org/10.1002/mma.6742
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10686
dc.identifier.volume44en_US
dc.identifier.wosWOS:000549775300001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods In The Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectconvex functionen_US
dc.subjectquantum derivativesen_US
dc.subjectquantum integral inequalitiesen_US
dc.subjectSimpson inequalityen_US
dc.subjectHermite-Hadamard Inequalitiesen_US
dc.titleSimpson and Newton type inequalities for convex functions via newly defined quantum integralsen_US
dc.typeArticleen_US

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