Fractional Milne-type inequalities for twice differentiable functions

dc.authoridAlmoneef, Areej/0000-0001-7041-3730;en_US
dc.authorscopusid57729815600en_US
dc.authorscopusid55655209500en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid57197125025en_US
dc.authorwosidAlmoneef, Areej/GRJ-3845-2022en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorAlmoneef, Areej A.
dc.contributor.authorHyder, Abd-Allah
dc.contributor.authorBudak, Huseyin
dc.contributor.authorBarakat, Mohamed A.
dc.date.accessioned2024-08-23T16:03:29Z
dc.date.available2024-08-23T16:03:29Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this study, a specific identity was derived for functions that possess two continuous derivatives. Through the utilization of this identity and Riemann-Liouville fractional integrals, several fractional Milne-type inequalities were established for functions whose second derivatives inside the absolute value are convex. Additionally, an example and a graphical representation are included to clarify the core findings of our research.en_US
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University [RGP.2/82/45]; Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia [PNURSP2024R337]en_US
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Research Groups Program under grant (RGP.2/82/45) . The authors would like to acknowledge the Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2024R337) , Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.en_US
dc.identifier.doi10.3934/math.2024965
dc.identifier.endpage19785en_US
dc.identifier.issn2473-6988
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85196113124en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage19771en_US
dc.identifier.urihttps://doi.org/10.3934/math.2024965
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13778
dc.identifier.volume9en_US
dc.identifier.wosWOS:001249078500004en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAims Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMilne-type inequalitiesen_US
dc.subjectfractional integralsen_US
dc.subjectconvexityen_US
dc.subjectdifferentiable functionsen_US
dc.subjectSimpsons Typeen_US
dc.titleFractional Milne-type inequalities for twice differentiable functionsen_US
dc.typeArticleen_US

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