Generalized strongly n-polynomial convex functions and related inequalities

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dc.contributor.authorOzcan, Serap
dc.contributor.authorKadakal, Mahir
dc.contributor.authorIscan, Imdat
dc.contributor.authorKadakal, Huriye
dc.date.accessioned2024-10-04T18:51:02Z
dc.date.available2024-10-04T18:51:02Z
dc.date.issued2024
dc.departmentBayburt Üniversitesien_US
dc.description.abstractThis paper focuses on introducing and examining the class of generalized strongly n-polynomial convex functions. Relationships between these functions and other types of convex functions are explored. The Hermite-Hadamard inequality is established for generalized strongly n-polynomial convex functions. Additionally, new integral inequalities of Hermite-Hadamard type are derived for this class of functions using the Holder-Iscan integral inequality. The results obtained in this paper are compared with those known in the literature, demonstrating the superiority of the new results. Finally, some applications for special means are provided.en_US
dc.identifier.doi10.1186/s13661-024-01838-2
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85185948191en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-024-01838-2
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3348
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001173228400001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConvex functionen_US
dc.subjectGeneralized strongly n-polynomial convex functionen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectHolder-Iscan inequalityen_US
dc.subjectIntegral inequalitiesen_US
dc.titleGeneralized strongly n-polynomial convex functions and related inequalitiesen_US
dc.typeArticleen_US

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