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Some new Jensen–Mercer type integral inequalities are established via fractional operators

dc.contributor.authorBayraktar, Bahtiyar
dc.contributor.authorKórus, Péter
dc.contributor.authorNápoles Valdés, Juan Eduardo
dc.date.accessioned2026-02-13T18:23:32Z
dc.date.available2026-02-13T18:23:32Z
dc.date.issued2023
dc.identifier.citationBayraktar, Bahtiyar, Kórus, Péter y Nápoles Valdés, Juan Eduardo, 2023. Some new Jensen–Mercer type integral inequalities are established via fractional operators. Axioms. Basel: MDPI AG, vol. 12, no. 6, p. 1-17. ISSN 2075-1680.es
dc.identifier.issn2075-1680es
dc.identifier.urihttp://repositorio.unne.edu.ar/handle/123456789/60058
dc.description.abstractIn this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex. Our main results are established using the classical Jensen–Mercer inequality and its variants for (ℎ,𝑚) -convex modified functions proven in this paper. In addition to showing that our results support previously known results from the literature, we provide examples of their application.es
dc.formatapplication/pdfes
dc.format.extentp. 1-17es
dc.language.isoenges
dc.publisherMDPI AGes
dc.relation.urihttps://doi.org/10.3390/axioms12060517es
dc.rightsopenAccesses
dc.rights.urihttp://creativecommons.org/licenses/by/2.5/ar/es
dc.sourceAxioms, 2023, vol. 12, no. 6, p. 1-17.es
dc.subjectConvex functionses
dc.subject(h, m)-convex functionses
dc.subjectJensen–Mercer inequalityes
dc.subjectHermite–Hadamard inequalityes
dc.subjectHölder inequalityes
dc.subjectPower mean inequalityes
dc.subjectNon-conformable fractional operatorses
dc.titleSome new Jensen–Mercer type integral inequalities are established via fractional operatorses
dc.typeArtículoes
unne.affiliationFil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.es
unne.affiliationFil: Kórus, Péter. University of Szeged. Juhász Gyula Faculty of Education; Hungría.es
unne.affiliationFil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.es
unne.journal.paisSuizaes
unne.journal.ciudadBaseles
unne.journal.volume12es
unne.journal.number6es


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