Generalizations of Sherman’s inequality via Fink’s identity and Green’s function

New generalizations of Sherman’s inequality for $n$-convex functions are obtained by using Fink’s identity and Green’s function. By using inequalities for the Chebyshev functional, we establish some new Ostrowski- and Gruss-type inequalities related to these generalizations.

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Bibliographic Details
Date:2018
Main Authors: Ivelic, Bradanovic S., Latif, M. A., Pečarić, J. E., Івелич, Браданович С., Латіф, М. А., Печарик, Й. Е.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2018
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1615
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal