REMARKS ON INEQUALITIES WITH PARAMETER BY CONFORMABLE FRACTIONAL INTEGRALS

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dc.authoridHezenci, Fatih/0000-0003-1008-5856
dc.authoridBudak, Huseyin/0000-0001-8843-955X
dc.authoridVivas-Cortez, Miguel/0000-0002-1567-0264
dc.contributor.authorHezenci, Fatih
dc.contributor.authorVivas-cortez, Miguel
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2025-10-11T20:48:12Z
dc.date.available2025-10-11T20:48:12Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractWe prove that an equation holds for differentiable convex functions, and this result has been derived using conformable integrals. With the help of this equality, several parameterized inequalities are established by using the conformable fractional integrals. Namely, we show that our main inequalities reduce to Ostrowski-, Hermite-Hadamard-, Simpson-, and Bullen-type inequalities which are proved in earlier published papers. More precisely, some inequalities are acquired by taking advantage of the convexity, the Holder, and the power mean inequalities. Finally, examples are given to illustrate the investigated results.en_US
dc.identifier.doi10.1142/S0218348X24501378
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-105003819673en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1142/S0218348X24501378
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21796
dc.identifier.volume33en_US
dc.identifier.wosWOS:001347079600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofFractals-Complex Geometry Patternsand Scaling in Natureand Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectOstrowski-Type Inequalityen_US
dc.subjectHermite-Hadamard-Type Inequalityen_US
dc.subjectSimpson-Type Inequalityen_US
dc.subjectBullen-Type Inequalityen_US
dc.subjectFractional Conformable Integralsen_US
dc.subjectFractional Calculusen_US
dc.subjectConvex Functionen_US
dc.titleREMARKS ON INEQUALITIES WITH PARAMETER BY CONFORMABLE FRACTIONAL INTEGRALSen_US
dc.typeArticleen_US

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