New Versions of Midpoint Inequalities Based on Extended Riemann-Liouville Fractional Integrals

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dc.authoridBARAKAT, MOHAMED/0000-0003-4036-6368en_US
dc.authoridHyder, Abd-Allah/0000-0001-9273-9512en_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authorscopusid55655209500en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid57197125025en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidBARAKAT, MOHAMED/GRE-6727-2022en_US
dc.authorwosidHyder, Abd-Allah/AFU-5841-2022en_US
dc.contributor.authorHyder, Abd-Allah
dc.contributor.authorBudak, Hueseyin
dc.contributor.authorBarakat, Mohamed A.
dc.date.accessioned2024-08-23T16:03:37Z
dc.date.available2024-08-23T16:03:37Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis study aims to prove some midpoint-type inequalities for fractional extended Riemann-Liouville integrals. Crucial equality is proven to build new results. Using this equality, several midpoint-type inequalities are established via differentiable convex functions and the proposed extended fractional operators. To be more specific, the well-known Holder, Jensen, and power mean integral inequalities are employed in the demonstrated inequalities. Additionally, many remarks based on specific selections of the main results are presented. Moreover, to illustrate the key conclusions, a few instances are provided.en_US
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University [RGP.2/102/44]en_US
dc.description.sponsorshipThis research was funded by King Khalid University, Grant RGP.2/102/44.en_US
dc.identifier.doi10.3390/fractalfract7060442
dc.identifier.issn2504-3110
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85163984696en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract7060442
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13822
dc.identifier.volume7en_US
dc.identifier.wosWOS:001014616500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractal And Fractionalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectfractional extended operatorsen_US
dc.subjectmidpoint inequalitiesen_US
dc.subjectinequality of Hermite-Hadamarden_US
dc.subjectConvex-Functionsen_US
dc.titleNew Versions of Midpoint Inequalities Based on Extended Riemann-Liouville Fractional Integralsen_US
dc.typeArticleen_US

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