Construction of a new generalization for n-polynomial convexity with their certain inequalities

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dc.authorid0000-0001-6749-0591
dc.authorid0000-0002-0304-7192
dc.authorid0000-0002-0240-918X
dc.contributor.authorKadakal, Mahir
dc.contributor.authorIscan, Imdat
dc.contributor.authorKadakal, Huriye
dc.date.accessioned2026-02-28T12:18:09Z
dc.date.available2026-02-28T12:18:09Z
dc.date.issued2024
dc.departmentBayburt Üniversitesi
dc.description.abstractIn this paper, we first construct a new generalization of n-polynomial convex function. That is, this study is a generalization of the definition of n-polynomial convexity previously found in the literature. By making use of this construction, we derive certain inequalities for this new generalization and show that the first derivative in absolute value corresponds to a new class of n-polynomial convexity. Also, we see that the obtained results in the paper while comparing with H & ouml;lder, H & ouml;lder-& Idot;& scedil;can and power-mean, improvedpower-mean integral inequalities show that the results give a better approach than the others. Finally, we conclude our paper with applications containing some means.
dc.identifier.doi10.15672/hujms.1310861
dc.identifier.endpage1541
dc.identifier.issn2651-477X
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85215311974
dc.identifier.scopusqualityQ2
dc.identifier.startpage1529
dc.identifier.trdizinid1289723
dc.identifier.urihttps://doi.org/10.15672/hujms.1310861
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1289723
dc.identifier.urihttps://hdl.handle.net/20.500.12403/6127
dc.identifier.volume53
dc.identifier.wosWOS:001385922500003
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherHacettepe Univ, Fac Sci
dc.relation.ispartofHacettepe Journal of Mathematics And Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260218
dc.subjectconvex function
dc.subjectn-polynomial convexity
dc.subjectgeneralized n-polynomial convexity
dc.subjectHermite-Hadamard inequality
dc.subjectH & ouml;lder-& Idot;& scedil;can integral inequality
dc.titleConstruction of a new generalization for n-polynomial convexity with their certain inequalities
dc.typeArticle

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