New Extensions of the Parameterized Inequalities Based on Riemann-Liouville Fractional Integrals

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dc.authoridKARA, Hasan/0000-0002-2075-944X
dc.authoridHEZENCI, fatih/0000-0003-1008-5856
dc.authoridBudak, Hüseyin/0000-0001-8843-955X
dc.contributor.authorKara, Hasan
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorHezenci, Fatih
dc.date.accessioned2023-07-26T11:57:15Z
dc.date.available2023-07-26T11:57:15Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, we derive the above and below bounds for parameterized-type inequalities using the Riemann-Liouville fractional integral operators and limited second derivative mappings. These established inequalities generalized the midpoint-type, trapezoid-type, Simpson-type, and Bullen-type inequalities according to the specific choices of the parameter. Thus, a generalization of many inequalities and new results were obtained. Moreover, some examples of obtained inequalities are given for better understanding by the reader. Furthermore, the theoretical results are supported by graphs in order to illustrate the accuracy of each of the inequalities obtained according to the specific choices of the parameter.en_US
dc.identifier.doi10.3390/math10183374
dc.identifier.issn2227-7390
dc.identifier.issue18en_US
dc.identifier.scopus2-s2.0-85138621152en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/math10183374
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13093
dc.identifier.volume10en_US
dc.identifier.wosWOS:000858629400001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKara, Hasan
dc.institutionauthorBudak, Hüseyin
dc.institutionauthorHezenci, Fatih
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofMathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectBounded Functions; Hermite-Hadamard Type Inequality; Trapezoid Inequalities; Midpoint-Type Inequalities; Simpson-Type Inequalities; Bullen-Type Inequalitiesen_US
dc.subjectHermite-Hadamard Inequalities; Differentiable Mappings; Simpsons Type; Real Numbersen_US
dc.titleNew Extensions of the Parameterized Inequalities Based on Riemann-Liouville Fractional Integralsen_US
dc.typeArticleen_US

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