Some new parameterized inequalities based on Riemann-Liouville fractional integrals

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dc.authoridAkdemir, Ahmet Ocak/0000-0003-2466-0508;en_US
dc.authorscopusid57208224500en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid36871735200en_US
dc.authorwosidAkdemir, Ahmet Ocak/Q-2400-2019en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorKara, Hasan
dc.contributor.authorBudak, Huseyin
dc.contributor.authorAkdemir, Ahmet Ocak
dc.date.accessioned2024-08-23T16:03:48Z
dc.date.available2024-08-23T16:03:48Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this article, we first obtain an identity that we will use throughout the article. With the help of this equality, new inequalities involving a real parameter are established for Riemann-Liouville fractional integrals. For this purpose, properties of the differentiable convex function, Ho & BULL;lder inequality, and power -mean inequality are used. In addition, new results are established with special choices of parameters in all proven inequalities. Our results are supported by examples and graphs. It is shown that some of these results generalize the trapezoid type and Newton-type inequalities.en_US
dc.identifier.doi10.2298/FIL2323867K
dc.identifier.endpage7880en_US
dc.identifier.issn0354-5180
dc.identifier.issue23en_US
dc.identifier.scopus2-s2.0-85162825236en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage7867en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2323867K
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13899
dc.identifier.volume37en_US
dc.identifier.wosWOS:001011546000001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNewton-type inequalityen_US
dc.subjectTrapezoid type inequalityen_US
dc.subjectfractional calculusen_US
dc.subjectconvex functionsen_US
dc.titleSome new parameterized inequalities based on Riemann-Liouville fractional integralsen_US
dc.typeArticleen_US

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