Jensen – Ostrowski inequalities and integration schemes via the Darboux expansion

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.