Improvement in Some Inequalities via Jensen-Mercer Inequality and Fractional Extended Riemann-Liouville Integrals

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dc.authoridHyder, Abd-Allah/0000-0001-9273-9512en_US
dc.authoridAlmoneef, Areej/0000-0001-7041-3730en_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authorscopusid55655209500en_US
dc.authorscopusid57729815600en_US
dc.authorscopusid57038541500en_US
dc.authorwosidHyder, Abd-Allah/AFU-5841-2022en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidAlmoneef, Areej/GRJ-3845-2022en_US
dc.contributor.authorHyder, Abd-Allah
dc.contributor.authorAlmoneef, Areej A.
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2024-08-23T16:03:37Z
dc.date.available2024-08-23T16:03:37Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe primary intent of this study is to establish some important inequalities of the Hermite-Hadamard, trapezoid, and midpoint types under fractional extended Riemann-Liouville integrals (FERLIs). The proofs are constructed using the renowned Jensen-Mercer, power-mean, and Holder inequalities. Various equalities for the FERLIs and convex functions are construed to be the mainstay for finding new results. Some connections between our main findings and previous research on Riemann-Liouville fractional integrals and FERLIs are also discussed. Moreover, a number of examples are featured, with graphical representations to illustrate and validate the accuracy of the new findings.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). The authors would like to acknowledge the Princess Nourah bint Abdulrah [RGP.2/102/44, PNURSP2023R337]; Deanship of Scientific Research at King Khalid University; Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabiaen_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). The authors would like to acknowledge the Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2023R337), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.en_US
dc.identifier.doi10.3390/axioms12090886
dc.identifier.issn2075-1680
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85172098384en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.3390/axioms12090886
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13827
dc.identifier.volume12en_US
dc.identifier.wosWOS:001071075600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofAxiomsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectfractional integralsen_US
dc.subjectfractional inequalitiesen_US
dc.subjectJensen-Merce inequalityen_US
dc.subjectConvex-Functionsen_US
dc.titleImprovement in Some Inequalities via Jensen-Mercer Inequality and Fractional Extended Riemann-Liouville Integralsen_US
dc.typeArticleen_US

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