Extension of Milne-type inequalities to Katugampola fractional integrals

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dc.contributor.authorLakhdari, Abdelghani
dc.contributor.authorBudak, Huseyin
dc.contributor.authorAwan, Muhammad Uzair
dc.contributor.authorMeftah, Badreddine
dc.date.accessioned2025-10-11T20:48:03Z
dc.date.available2025-10-11T20:48:03Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis study explores the extension of Milne-type inequalities to the realm of Katugampola fractional integrals, aiming to broaden the analytical tools available in fractional calculus. By introducing a novel integral identity, we establish a series of Milne-type inequalities for functions possessing extended s-convex first-order derivatives. Subsequently, we present an illustrative example complete with graphical representations to validate our theoretical findings. The paper concludes with practical applications of these inequalities, demonstrating their potential impact across various fields of mathematical and applied sciences.en_US
dc.identifier.doi10.1186/s13661-024-01909-4
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85201321171en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-024-01909-4
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21731
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001291106300002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectKatugampola fractional integral operatorsen_US
dc.subjectMilne-type inequalitiesen_US
dc.subjectConvex functionsen_US
dc.subjectP-functionsen_US
dc.subjects-Godunova-Levin functionsen_US
dc.subjectExtended s-convex functionsen_US
dc.titleExtension of Milne-type inequalities to Katugampola fractional integralsen_US
dc.typeArticleen_US

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