Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions

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dc.contributor.authorKadakal, Huriye
dc.date.accessioned2024-10-04T19:05:23Z
dc.date.available2024-10-04T19:05:23Z
dc.date.issued2022
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are arithmetically harmonically (AH) convex. In the last part of the article, applications including arithmetic mean, geometric mean, harmonic mean, logarithmic mean and p-logarithmic mean, which are some special means of real numbers, are given by using arithmetic harmonically convex functions.en_US
dc.identifier.doi10.17776/csj.1110051
dc.identifier.endpage503en_US
dc.identifier.issn2587-2680
dc.identifier.issn2587-246X
dc.identifier.issue3en_US
dc.identifier.startpage497en_US
dc.identifier.trdizinid1131910en_US
dc.identifier.urihttps://doi.org/10.17776/csj.1110051
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1131910
dc.identifier.urihttp://hdl.handle.net/20.500.12403/4393
dc.identifier.volume43en_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofCumhuriyet Science Journalen_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConvex functionen_US
dc.subjectArithmetic-harmonically convex functionen_US
dc.subjectHermite-Hadamard and Bullen type inequality.en_US
dc.titleGeneralization of Some Integral Inequalities for Arithmetic Harmonically Convex Functionsen_US
dc.typeArticleen_US

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