New Weighted Inequalities for Higher Order Derivatives and Applications

dc.contributor.authorErden, Samet
dc.contributor.authorSarikaya, Mehmet Zeki
dc.contributor.authorBudak, Huseyin
dc.contributor.authorErden, Samet
dc.date.accessioned2025-10-18T13:23:03Z
dc.date.created2018
dc.date.issued2018
dc.departmentFakülteler, Fen Fakültesi, Matematik Bölümü
dc.description.abstractWe establish a new Ostrowski type inequality for (n + 1)-times differentiable mappings which are bounded. Then, some new inequalities of Hermite-Hadamard type are obtained for functions whose (n + 1) th derivatives in absolute value are convex. Spacial cases of these inequalities reduce some well known inequalities. With the help of obtained inequalities, we give applications for the kth-moment of random variables.
dc.identifier.doi10.2298/FIL1812419E
dc.identifier.endpage4433
dc.identifier.issn0354-5180
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85061454688
dc.identifier.scopusqualityQ3
dc.identifier.startpage4419
dc.identifier.urihttps://doi.org/10.2298/FIL1812419E
dc.identifier.urihttps://hdl.handle.net/11772/22664
dc.identifier.volume32
dc.identifier.wosWOS:000461182200027
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzWoS_20251016
dc.subjectHermite-Hadamard Inequality
dc.subjectOstrowski Inequality
dc.subjectMidpoint Inequality
dc.subjectConvex Function
dc.subjectRandom Variables
dc.titleNew Weighted Inequalities for Higher Order Derivatives and Applications
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublicationf8787a2a-dd28-4b2f-8716-492d9a0b4991
relation.isAuthorOfPublication.latestForDiscoveryf8787a2a-dd28-4b2f-8716-492d9a0b4991

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