Fractional integral approaches to weighted corrected Euler-Maclaurin-type inequalities for different classes of functions

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dc.contributor.authorDemir, Izzettin
dc.contributor.authorUnes, Esra
dc.date.accessioned2025-10-11T20:48:36Z
dc.date.available2025-10-11T20:48:36Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn recent years, a wide variety of integral inequalities, including Newton-type, Simpson-type, and corrected Euler-Maclaurin-type inequalities, have been extensively studied, particularly in the framework of fractional calculus using Riemann-Liouville or conformable fractional integrals. Among these, fractional corrected Euler-Maclaurin-type inequalities have emerged as a valuable tool due to their improved approximation capabilities. In this study, we focus on developing weighted corrected Euler-Maclaurin-type inequalities for different classes of functions using Riemann-Liouville fractional integrals. To achieve this, we first derive a key integral equality with the aid of a positive weighted function, providing the foundation for the primary outcomes. Through the use of this integral equality, we prove new inequalities for differentiable convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation. Also, for better explanation, we offer some examples together with their matching graphs. Moreover, these findings extend previous results. Consequently, the study clarifies the significance of corrected Euler-Maclaurin-type inequalities and suggests opportunities for further exploration.en_US
dc.identifier.doi10.1016/j.chaos.2025.116936
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-105012278489en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2025.116936
dc.identifier.urihttps://hdl.handle.net/20.500.12684/22008
dc.identifier.volume200en_US
dc.identifier.wosWOS:001546950100004en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectCorrected Euler-Maclaurin-type inequalitiesen_US
dc.subjectConvex functionsen_US
dc.subjectBounded functionsen_US
dc.subjectLipschitz functionsen_US
dc.subjectAnd functions of bounded variationen_US
dc.titleFractional integral approaches to weighted corrected Euler-Maclaurin-type inequalities for different classes of functionsen_US
dc.typeArticleen_US

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