%0 Journal Article %T Refinements of Results about Weighted Mixed Symmetric Means and Related Cauchy Means %A Horv¨¢th L¨¢szl¨® %A Khan KhuramAli %A Pe£¿ari£¿ J %J Journal of Inequalities and Applications %D 2011 %I Springer %X A recent refinement of the classical discrete Jensen inequality is given by Horv¨¢th and Pe ari . In this paper, the corresponding weighted mixed symmetric means and Cauchy-type means are defined. We investigate the exponential convexity of some functions, study mean value theorems, and prove the monotonicity of the introduced means. %U http://www.journalofinequalitiesandapplications.com/content/2011/350973