Jensen – Ostrowski inequalities and integration schemes via the Darboux expansion

By using the Darboux formula obtained as a generalization of the Taylor formula, we deduce some Jensen – Ostrowski-type inequalities. The applications to quadrature rules and $f$ -divergence measures (specifically, for higher-order $\chi$ -divergence) are also given.

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Bibliographic Details
Date:2017
Main Authors: Cerone, P., Dragomir, S. S., Kikianty, E., Цероне, П., Драгомир, С. С., Кікіанті, Е.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1763
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal