Some geometric inequalities relating to an interior point in triangle

摘要

In this short note, by using one of Li and Liu's theorems [K.-H. Li, The solution of CIQ. 39, Commun. Stud. Inequal. 11(1) (2004), p. 162 (in Chinese)], s-R-r method, Cauchy's inequality and the theory of convex function, we solve some geometric inequalities conjectures relating to an interior point in triangle.