Weighted fractional Euler-Maclaurin inequalities for convex and bounded variation functions via Riemann-Liouville integrals

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dc.contributor.authorAlmoneef, Areej A.
dc.contributor.authorHyder, Abd-Allah
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hueseyin
dc.date.accessioned2025-10-11T20:48:03Z
dc.date.available2025-10-11T20:48:03Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis paper develops weighted Euler-Maclaurin-type inequalities using Riemann-Liouville fractional integrals for classes of differentiable convex functions and functions of bounded variation. The work begins with a foundational integral equality that incorporates a positive weighting function, which serves as the basis for constructing these Euler-Maclaurin-type inequalities. Through this approach, we derive specific fractional inequalities for convex functions and extend them to functions of bounded variation, addressing key accuracy bounds and demonstrating flexibility across applications. Some remarks and particular cases are discussed to provide deeper observation, showcasing variations of the derived inequalities under particular function classes and conditions. This exploration offers a comprehensive view of the potential extensions of weighted fractional inequalities within the context of fractional calculus.en_US
dc.description.sponsorshipPrincess Nourah Bint Abdulrahman University [RGP.2/163/46, PNURSP2025R337]en_US
dc.description.sponsorshipDeanship of Research and Graduate Studies at King Khalid Universityen_US
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through the Research Groups Program under grant (RGP.2/163/46). The authors would like to acknowledge the Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2025R337).en_US
dc.identifier.doi10.1186/s13660-025-03333-3
dc.identifier.issn1029-242X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-105010103640en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1186/s13660-025-03333-3
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21733
dc.identifier.volume2025en_US
dc.identifier.wosWOS:001522724900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Inequalitiesand Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectEuler-Maclaurin inequalityen_US
dc.subjectRiemann-Liouville integralsen_US
dc.subjectDifferentiable convex functionsen_US
dc.subjectBounded variationen_US
dc.titleWeighted fractional Euler-Maclaurin inequalities for convex and bounded variation functions via Riemann-Liouville integralsen_US
dc.typeArticleen_US

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