Novelty Hermite-Hadamard-Type Inequalities for Various Convexity Functions and Their Applications

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dc.contributor.authorMunir, Arslan
dc.contributor.authorKashuri, Artion
dc.contributor.authorHezenci, Fatih
dc.contributor.authorKara, Hasan
dc.date.accessioned2026-07-01T11:39:28Z
dc.date.available2026-07-01T11:39:28Z
dc.date.issued2025
dc.departmentDüzce Üniversitesi
dc.description.abstractThe classical Hermite-Hadamard inequality provides a fundamental estimate for the integral mean of convex functions and has inspired numerous extensions in mathematical analysis. In this paper, we present new generalizations of the Hermite-Hadamard inequality within the framework of fractional calculus by employing the Caputo-Fabrizio fractional integral operator, known for its non-singular kernel and smooth memory effects. Specifically, we establish refined inequalities for convex functions that are three times differentiable and extend these results to the broader class of quasi-convex functions. Furthermore, we demonstrate several applications of the newly derived inequalities to special means, specific functions, the modified Bessel function, quadrature formulas and midpoint formulas. These findings contribute to the expanding body of literature on fractional inequalities and their applications in both theoretical and applied contexts.
dc.identifier.doi10.22130/scma.2025.2059679.2174
dc.identifier.issn2322-5807
dc.identifier.issn2423-3900
dc.identifier.issue4
dc.identifier.scopus2-s2.0-105018071089
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.22130/scma.2025.2059679.2174
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23313
dc.identifier.volume22
dc.identifier.wosWOS:001588127700010
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Maragheh
dc.relation.ispartofSahand Communications in Mathematical Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260623
dc.subjectHermite-Hadamard Type Inequality
dc.subjectQuasi-Convex Function
dc.subjectConvex Function
dc.subjectCaputo-Fabrizio Fractional Integrals
dc.subjectQuadrature Formula
dc.subjectModified Bessel Function
dc.subjectSpecial Means
dc.titleNovelty Hermite-Hadamard-Type Inequalities for Various Convexity Functions and Their Applications
dc.typeArticle

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