INEQUALITIES FOR DRAGOMIR'S MAPPINGS VIA STIELTJES INTEGRALS

摘要

We present some inequalities for the mappings defined by Dragomir ['Two mappings in connection to Hadamard's inequalities',J. Math. Anal. Appl.167(1992), 49-56]. We analyse known inequalities connected with these mappings using a recently developed method connected with stochastic orderings and Stieltjes integrals. We show that some of these results are optimal and others may be substantially improved.