Cerone, P.Dragomir, S.S.Kikianty, Eder2019-07-242019-07-242018-01Cerone, P., Dragomir, S.S. & Kikianty, E. Jensen–Ostrowski Inequalities and Integration Schemes via the Darboux Expansion. Ukrainian Mathematical Journal (2018) 69: 1306-1327. https://doi.org/10.1007/s11253-017-1432-5.0041-5995 (print)1573-9376 (online)10.1007/s11253-017-1432-5http://hdl.handle.net/2263/70787By 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 χ-divergence) are also presented.en© Springer Science+Business Media, LLC, part of Springer Nature 2017. The original publication is available at : http://link.springer.com/journal/11253.Darboux formulaJensen–Ostrowski-type inequalitiesPostprint Article