Some New Improvements of Hermite-Hadamard Type Inequalities Using Strongly (s, m)-Convex Function with Applications

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dc.authoridQayyum, Ather/0000-0003-4149-5305;
dc.contributor.authorMunir, Arslan
dc.contributor.authorBudak, Huseyin
dc.contributor.authorKashuri, Artion
dc.contributor.authorFaiz, Irza
dc.contributor.authorKara, Hasan
dc.contributor.authorQayyum, Ather
dc.date.accessioned2025-10-11T20:47:58Z
dc.date.available2025-10-11T20:47:58Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe trapezoidal-type inequalities are discovered in this study using the fractional operator, which produces powerful results. We established a general identity for Caputo-Fabrizio integral operators and the second derivative function. Using this identity new error bounds and estimates for strongly (s, m)-convex functions are obtained. Moreover, some novel trapezoidal-type inequalities are offered taking this identity into account using the known inequalities like Young, Jensen, Holder and power-mean inequalities. Finally, we present some applications for matrix inequality, estimation error regarding trapezoidal formulas and special means for real numbers.en_US
dc.identifier.doi10.22130/scma.2024.2023382.1633
dc.identifier.endpage332en_US
dc.identifier.issn2322-5807
dc.identifier.issn2423-3900
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-105003773141en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage307en_US
dc.identifier.urihttps://doi.org/10.22130/scma.2024.2023382.1633
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21652
dc.identifier.volume22en_US
dc.identifier.wosWOS:001500401200006en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Maraghehen_US
dc.relation.ispartofSahand Communications in Mathematical Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectTrapezoidal-type inequalityen_US
dc.subjectStrongly (s, m)-convex functionen_US
dc.subjectYoung's inequalityen_US
dc.subjectJensen inequalityen_US
dc.titleSome New Improvements of Hermite-Hadamard Type Inequalities Using Strongly (s, m)-Convex Function with Applicationsen_US
dc.typeArticleen_US

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