A NOTE ON SIMPSON 3/8 RULE FOR FUNCTION WHOSE MODULUS OF FIRST DERIVATIVES ARE s-CONVEX FUNCTION WITH APPLICATION

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dc.contributor.authorMunir, Arslan
dc.contributor.authorBudak, Huseyin
dc.contributor.authorKara, Hasan
dc.contributor.authorRathour, Laxmi
dc.contributor.authorFaiz, Irza
dc.date.accessioned2025-10-11T20:48:11Z
dc.date.available2025-10-11T20:48:11Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractResearchers continue to explore and introduce new operators, methods, and applications related to fractional integrals and inequalities. In recent years, fractional integrals and inequalities have gained a lot of attention. In this paper, firstly we established the new identity for the case of differentiable function through the fractional operator (Caputo-Fabrizio). By utilizing this novel identity, the obtained results are improved for Simpson second formula-type inequality. Based on this identity the Simpson second formula-type inequality is proved for the s-convex functions. Furthermore, we also include the applications to special means.en_US
dc.identifier.doi10.11568/kjm.2024.32.3.365
dc.identifier.endpage379en_US
dc.identifier.issn1976-8605
dc.identifier.issn2288-1433
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85206590017en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage365en_US
dc.identifier.urihttps://doi.org/10.11568/kjm.2024.32.3.365
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21785
dc.identifier.volume32en_US
dc.identifier.wosWOS:001329066100001en_US
dc.identifier.wosqualityN/Aen_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.snmzKA_WOS_20250911
dc.subjectSimpson 3/8 type inequalitiesen_US
dc.subjects-convex functionen_US
dc.subjectFractional integralsen_US
dc.subjectHolder's inequalityen_US
dc.subjectPower-mean inequalityen_US
dc.titleA NOTE ON SIMPSON 3/8 RULE FOR FUNCTION WHOSE MODULUS OF FIRST DERIVATIVES ARE s-CONVEX FUNCTION WITH APPLICATIONen_US
dc.typeArticleen_US

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