Generalized (H, ϕ)-Convexity and New Hermite-Hadamard Type Inequalities

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dc.contributor.authorSarıkaya, Mehmet Zeki
dc.date.accessioned2026-07-01T11:36:32Z
dc.date.available2026-07-01T11:36:32Z
dc.date.issued2025
dc.departmentDüzce Üniversitesi
dc.description.abstractIn this paper, we introduce a novel class of convex functions, called (H, ϕ)-convex functions, defined via a general parametric mean ϕ and a weighting function H. This new convexity notion encompasses several well-known classes such as standard convexity, s-convexity, h-convexity, and m-convexity as particular cases. We provide illustrative examples demonstrating that this class is genuinely more general. Furthermore, we derive a new Hermite-Hadamard type inequality tailored to the (H, ϕ)-convex framework. Our results extend and unify various existing inequalities in the literature. © 2025, Murat TOSUN. All rights reserved.
dc.identifier.doi10.36753/mathenot.1778929
dc.identifier.endpage208
dc.identifier.issn2147-6268
dc.identifier.issue4
dc.identifier.scopus2-s2.0-105025168814
dc.identifier.scopusqualityQ3
dc.identifier.startpage201
dc.identifier.trdizinid1368754
dc.identifier.urihttps://doi.org/10.36753/mathenot.1778929
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1368754
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23098
dc.identifier.volume13
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorSarıkaya, Mehmet Zeki
dc.language.isoen
dc.publisherMurat TOSUN
dc.relation.ispartofMathematical Sciences and Applications E-Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260623
dc.subjectConvex function
dc.subjecth-convex function
dc.subjectHermite-Hadamard inequality
dc.subjectm-convex function
dc.subjects-convex function
dc.titleGeneralized (H, ϕ)-Convexity and New Hermite-Hadamard Type Inequalities
dc.typeArticle

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