SOME NEW INEQUALITIES ON GENERALIZATION OF HERMITE-HADAMARD AND BULLEN TYPE INEQUALITIES, APPLICATIONS TO TRAPEZOIDAL AND MIDPOINT FORMULA

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dc.contributor.authorIscan, Imdat
dc.contributor.authorToplu, Tekin
dc.contributor.authorYetgin, Fatih
dc.date.accessioned2025-10-29T11:08:03Z
dc.date.issued2021
dc.departmentGebze Teknik Üniversitesi
dc.description.abstractIn this paper, we give a new general identity for differentiable functions. A consequence of the identity is that we obtain some new general inequalities containing all of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are convex. Some applications to special means of real numbers are also given. Finally, some error estimates for the trapezoidal and midpoint formula are addressed.
dc.identifier.doi10.46793/KgJMat2104.647I
dc.identifier.endpage657
dc.identifier.issn1450-9628
dc.identifier.issue4
dc.identifier.orcid0000-0003-1583-5900
dc.identifier.scopus2-s2.0-85089950811
dc.identifier.scopusqualityQ1
dc.identifier.startpage647
dc.identifier.urihttps://doi.org/10.46793/KgJMat2104.647I
dc.identifier.urihttps://hdl.handle.net/20.500.14854/5186
dc.identifier.volume45
dc.identifier.wosWOS:000684187800012
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Kragujevac, Fac Science
dc.relation.ispartofKragujevac Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectConvex functions
dc.subjectHermite-Hadamard type inequality
dc.subjectBullen type inequality
dc.subjectgeneral integral ineqaulities
dc.subjecttrapezoidal and Midpoint formula
dc.titleSOME NEW INEQUALITIES ON GENERALIZATION OF HERMITE-HADAMARD AND BULLEN TYPE INEQUALITIES, APPLICATIONS TO TRAPEZOIDAL AND MIDPOINT FORMULA
dc.typeArticle

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