Abstract
Using Ohlin’s Lemma [21] on convex stochastic ordering, we get a simple proof of known Hermite-Hadamard-Fejer type inequalities. We also prove new inequalities. Using s convex stochastic ordering [12], we also give some Hermite-Hadamard-Fejer 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]. Mathematics subject classification (2010): 26A51, 26D15, 60E15, 41A55.
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