2018
Том 70
№ 6

# Jensen – Ostrowski inequalities and integration schemes via the Darboux expansion

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.

Citation Example: Cerone P., Dragomir S. S., Kikianty E. Jensen – Ostrowski inequalities and integration schemes via the Darboux expansion // Ukr. Mat. Zh. - 2017. - 69, № 8. - pp. 1123-1140.