In this paper a refinement of a particular case of an inequality of Radon, referred in the literature as Bergström's inequality, is presented. Later on, this result is used to obtain refinements of some known inequalities among them the classical inequality of Cauchy. Finally, two elementary numerical inequalities are also given. (2000): 26D15. Mathematics subject classification

In this paper we prove a new generalization of Radon’s Inequality and give some applications.

In this paper we prove a refinement of a Radon type inequality, previously considered by authors in [Batinet¸u-Giurgiu, D. M. and Pop, O. T., ˘ A generalization of Radon’s inequality, Creat. Math. Inform., 19 (2010), No. 2, 116–121] and [Batinet¸u-Giurgiu, D. M., M ˘ arghidanu, D. and Pop, O. T., ˘ A new generalization of Radon’s inequality and applications, Creat. Math. Inform., 20 (2011), No. 2, 111–116].