Milne-Type inequalities via expanded fractional operators: A comparative study with different types of functions

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dc.authorscopusid55655209500en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid57197125025en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorHyder, Abd-Allah
dc.contributor.authorBudak, Huseyin
dc.contributor.authorBarakat, Mohamed A.
dc.date.accessioned2024-08-23T16:03:30Z
dc.date.available2024-08-23T16:03:30Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis study focused on deriving Milne-type inequalities using expanded fractional integral operators. We began by establishing a key equality associated with these operators. Using this equality, we explored Milne-type inequalities for functions with convex derivatives, supported by an illustrative example for clarity. Additionally, we investigated Milne-type inequalities for bounded and Lipschitzian functions utilizing fractional expanded integrals. Finally, we extended our exploration to Milne-type inequalities involving functions of bounded variation.en_US
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University [RGP.2/102/44]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.2/102/44.en_US
dc.identifier.doi10.3934/math.2024551
dc.identifier.endpage11246en_US
dc.identifier.issn2473-6988
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85188650862en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage11228en_US
dc.identifier.urihttps://doi.org/10.3934/math.2024551
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13780
dc.identifier.volume9en_US
dc.identifier.wosWOS:001189376200002en_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.subjectfractional integralsen_US
dc.subjectMilne-type inequalitiesen_US
dc.subjectfunctions of bounded variationen_US
dc.subjectconvex functionsen_US
dc.subjectbounded functionsen_US
dc.subjectSimpsons Typeen_US
dc.titleMilne-Type inequalities via expanded fractional operators: A comparative study with different types of functionsen_US
dc.typeArticleen_US

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