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].

Abstract. Some Mitrinović type inequalities for general convex polygons are presented. The main tool in the proofs is the Radon inequality.Mathematics subject classification (2010): 26D15, 26D05, 51M16.