Enhanced bounds for Riemann-Liouville fractional integrals: Novel variations of Milne inequalities

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dc.authoridHyder, Abd-Allah/0000-0001-9273-9512en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid55655209500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidHyder, Abd-Allah/AFU-5841-2022en_US
dc.contributor.authorBudak, Huseyin
dc.contributor.authorHyder, Abd-Allah
dc.date.accessioned2024-08-23T16:03:30Z
dc.date.available2024-08-23T16:03:30Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this research article, we present novel extensions of Milne type inequalities to the realm of Riemann-Liouville fractional integrals. Our approach involves exploring significant functional classes, including convex functions, bounded functions, Lipschitzian functions and functions of bounded variation. To accomplish our objective, we begin by establishing a crucial identity for differentiable functions. Leveraging this identity, we subsequently derive new variations of fractional Milne inequalities.en_US
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University [RGP.2/102/44]en_US
dc.description.sponsorshipThe authors declare that they have not used Artificial Intelligence (AI) tools in the creation of this article. The 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.2/102/44) .en_US
dc.identifier.doi10.3934/math.20231572
dc.identifier.endpage30776en_US
dc.identifier.issn2473-6988
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85176424367en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage30760en_US
dc.identifier.urihttps://doi.org/10.3934/math.20231572
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13782
dc.identifier.volume8en_US
dc.identifier.wosWOS:001133603500006en_US
dc.identifier.wosqualityQ1en_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.subjectconvex functionen_US
dc.subjectfractional integralsen_US
dc.subjectbounded functionen_US
dc.subjectfunction of bounded variationen_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectSimpsons Typeen_US
dc.subjectConvex-Functionsen_US
dc.subjectReal Numbersen_US
dc.titleEnhanced bounds for Riemann-Liouville fractional integrals: Novel variations of Milne inequalitiesen_US
dc.typeArticleen_US

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