On estimation of the boole-type inequality for twice differentiable functions

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dc.contributor.authorBenaissa, Bouharket
dc.contributor.authorAzzouz, Noureddine
dc.contributor.authorHezenci, Fatih
dc.date.accessioned2026-07-01T11:40:03Z
dc.date.available2026-07-01T11:40:03Z
dc.date.issued2026
dc.departmentDüzce Üniversitesi
dc.description.abstractThis research formulates Boole-type inequalities for h-convex functions using Riemann integrals. The subject matter is a new variant of the established Boole-type inequalities for twice differentiable functions, applying two basic identities and using simple computations based on the B-function. The first result is involving the power-mean integral inequality, and the second is via H & ouml;lder inequality. Additionally, new results on Boole-type inequalities are established for special classes of convex functions, such as s-convex functions and P-functions.
dc.identifier.doi10.1016/j.cam.2025.117267
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.orcid0000-0003-1008-5856
dc.identifier.scopus2-s2.0-105025667813
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.cam.2025.117267
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23619
dc.identifier.volume481
dc.identifier.wosWOS:001655526200001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofJournal of Computational and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260623
dc.subjectH-Convex Function
dc.subjectBoole-Type Inequality
dc.subjectB-Function
dc.subjectTwice Differentiable Functions
dc.titleOn estimation of the boole-type inequality for twice differentiable functions
dc.typeArticle

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