Some new fractional corrected Euler-Maclaurin type inequalities for function whose second derivatives are s-convex function

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dc.authoridVivas-Cortez, Miguel/0000-0002-1567-0264en_US
dc.authoridQAYYUM, ATHER/0000-0003-4149-5305en_US
dc.authorscopusid58307603100en_US
dc.authorscopusid57192417272en_US
dc.authorscopusid36661537100en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid59172169500en_US
dc.authorscopusid24450952300en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidVivas-Cortez, Miguel/AAC-9992-2019en_US
dc.authorwosidQAYYUM, ATHER/AEU-8317-2022en_US
dc.contributor.authorMunir, Arslan
dc.contributor.authorVivas-Cortez, Miguel
dc.contributor.authorQayyum, Ather
dc.contributor.authorBudak, Huseyin
dc.contributor.authorFaiz, Irza
dc.contributor.authorSupadi, Siti Suzlin
dc.date.accessioned2024-08-23T16:04:28Z
dc.date.available2024-08-23T16:04:28Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractFractional integrals and inequalities have gained a lot of attention in recent years. By introducing innovative analytical approaches and applications, and by applying these approaches, numerous forms of inequalities have been examined. In this paper, we establish new identity for the twice differentiable function where the absolute value is convex. By utilizing this identity, numerous Corrected Euler-Maclaurin-type inequalities are developed for the Caputo-Fabrizio fractional integral operator. Based on this identity, the Corrected Euler-Maclaurin-type inequalities for $s$s-convex function are obtained. By employing well-known inequalities such as H & ouml;lder's and Power -Mean, we are introduced several new error bounds and estimates for Corrected Euler-Maclaurin-type inequalities. Additionally, special cases of the present results are applied to obtain the previous well-known results.en_US
dc.identifier.doi10.1080/13873954.2024.2356698
dc.identifier.endpage566en_US
dc.identifier.issn1387-3954
dc.identifier.issn1744-5051
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85196431896en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage543en_US
dc.identifier.urihttps://doi.org/10.1080/13873954.2024.2356698
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14205
dc.identifier.volume30en_US
dc.identifier.wosWOS:001252233900001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Incen_US
dc.relation.ispartofMathematical And Computer Modelling of Dynamical Systemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEuler-Maclaurin-type inequalitiesen_US
dc.subjectfractional integralsen_US
dc.subjectcorrected Euler-Maclaurin-type inequalitiesen_US
dc.subjectpower-mean inequalityen_US
dc.subjects-convex functionen_US
dc.titleSome new fractional corrected Euler-Maclaurin type inequalities for function whose second derivatives are s-convex functionen_US
dc.typeArticleen_US

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