ON THE OHLIN LEMMA FOR HERMITE-HADAMARD-FEJéR TYPE INEQUALITIES

摘要

Using Ohlin's Lemma [21] on convex stochastic ordering, we get a simple proof of known Hermite-Hadamard-Fejér type inequalities. We also prove,new inequalities. Using sconvex stochastic ordering [12], we also give some Hermite-Hadamard-Fejér type inequalities in the case of higher order convex functions. The obtained results are useful in proving some inequalities between the quadrature operators [31], [32].