Deriving weighted Newton-type inequalities for diverse function classes through Riemann-Liouville fractional integrals

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dc.authoridAlmoneef, Areej/0000-0001-7041-3730en_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authorscopusid57729815600en_US
dc.authorscopusid55655209500en_US
dc.authorscopusid57038541500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidAlmoneef, Areej/GRJ-3845-2022en_US
dc.contributor.authorAlmoneef, Areej A.
dc.contributor.authorHyder, Abd-Allah
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2024-08-23T16:04:56Z
dc.date.available2024-08-23T16:04:56Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis study introduces weighted Newton-type inequalities for diverse function classes via Riemann-Liouville fractional integrals. We begin by employing a positive weighted function to demonstrate a crucial integral equality which necessary for establishing the main outcomes. Leveraging this equality along with Riemann- Liouville fractional integrals, we prove several weighted Newton-type inequalities for various function classes, including differentiable convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation. From the obtained results, one can get an insights into the implications of Newton-type inequalities and outlines potential avenues for future research endeavors.en_US
dc.description.sponsorshipDeanship of Research and Graduate Studies at King Khalid University [RGP.2/82/45]; Princess Nourah bint Abdulrahman University [PNURSP2024R337]en_US
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through the 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) .en_US
dc.identifier.doi10.1016/j.chaos.2024.115205
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85197293393en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2024.115205
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14409
dc.identifier.volume186en_US
dc.identifier.wosWOS:001265661100001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectWeighted inequalitiesen_US
dc.subjectNewton-type inequalitiesen_US
dc.subjectFractional integral inequalitiesen_US
dc.titleDeriving weighted Newton-type inequalities for diverse function classes through Riemann-Liouville fractional integralsen_US
dc.typeArticleen_US

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