Weighted Milne-type inequalities through Riemann-Liouville fractional integrals and diverse function classes

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dc.authoridAlmoneef, Areej/0000-0001-7041-3730en_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.accessioned2024-08-23T16:03:30Z
dc.date.available2024-08-23T16:03:30Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis research paper investigated weighted Milne-type inequalities utilizing RiemannLiouville fractional integrals across diverse function classes. A key contribution lies in the establishment of a fundamental integral equality, facilitated by the use of a nonnegative weighted function, which is pivotal for deriving the main results. The paper systematically proved weighted Milne-type inequalities for various function classes, including differentiable convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation. The obtained results not only contribute to the understanding of Milne-type inequalities but also offer insights that pave the way for potential future research in the considered topics. Furthermore, it is evident that the results obtained encompass numerous findings that were previously presented in various studies as special cases.en_US
dc.description.sponsorshipDeanship of Research and Graduate Studies at King Khalid University [RGP.2/82/45]; Princess Nourah bint Abdulrahman University Researchers Supporting Project [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.doi10.3934/math.2024898
dc.identifier.endpage18439en_US
dc.identifier.issn2473-6988
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85195119311en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage18417en_US
dc.identifier.urihttps://doi.org/10.3934/math.2024898
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13779
dc.identifier.volume9en_US
dc.identifier.wosWOS:001240997200001en_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.subjectweighted Milne -type inequalitiesen_US
dc.subjectRiemann-Liouville fractional integralsen_US
dc.subjectnonnegativeen_US
dc.titleWeighted Milne-type inequalities through Riemann-Liouville fractional integrals and diverse function classesen_US
dc.typeArticleen_US

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