A general Ostrowski-type inequality

We obtain an integral representation for the expectation which generalizes a well-known formula. As a consequence, we establish an estimate for the difference of two expectations which is optimal in a specific sense and is general enough to include as particular cases many of the Ostrowski-type inequalities existing in the literature. Other consequences concerning inequalities and stochastic orders are also discussed.Ostrowski inequality Random variable Distribution function Expectation Lebesgue integral Absolutely continuous function Convex function