Jensen – Ostrowski inequalities and integration schemes via the Darboux expansion

  • P. Cerone
  • S. S. Dragomir
  • E. Kikianty

Abstract

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.
Published
25.08.2017
How to Cite
CeroneP., DragomirS. S., and KikiantyE. “Jensen – Ostrowski Inequalities and Integration schemes via the Darboux Expansion”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, no. 8, Aug. 2017, pp. 1123-40, http://umj.imath.kiev.ua/index.php/umj/article/view/1763.
Section
Research articles