ON SOME INEQUALITIES RELATED TO OPEN NEWTON-COTES FORMULAS FOR DIFFERENTIABLE CONVEX FUNCTIONS WITH APPLICATIONS

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dc.contributor.authorSial, Ifra Bashir
dc.contributor.authorMei, Sun
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Hseyin
dc.date.accessioned2025-10-11T20:47:58Z
dc.date.available2025-10-11T20:47:58Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, first, we prove a novel integral identity involving a single time-differentiable function. Then, we prove some new inequalities associated with one of the open Newton-Cotes formulas for differentiable convex functions. The newly established inequalities can be helpful in finding the error bounds of one of the open Newton-Cotes formulas. Finally, some applications of the inequalities are also presented in the context of open Newton-Cotes formulas.en_US
dc.description.sponsorshipNational Natural Science Foundation of China [11971241]en_US
dc.description.sponsorshipThis work is partially supported by the National Natural Science Foundation of China Grant No. 11971241.en_US
dc.identifier.doi10.18514/MMN.2025.4533
dc.identifier.endpage525en_US
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-105008023036en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage517en_US
dc.identifier.urihttps://doi.org/10.18514/MMN.2025.4533
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21665
dc.identifier.volume26en_US
dc.identifier.wosWOS:001545633100034en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Miskolc Inst Mathen_US
dc.relation.ispartofMiskolc Mathematical Notesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectopen Newton-Cotes formulasen_US
dc.subjectconvex functionsen_US
dc.subjectintegral inequalitiesen_US
dc.titleON SOME INEQUALITIES RELATED TO OPEN NEWTON-COTES FORMULAS FOR DIFFERENTIABLE CONVEX FUNCTIONS WITH APPLICATIONSen_US
dc.typeArticleen_US

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