Geometrical inequalities unconventional demonstrated

Abstract

In this paper we have synthetized more geometric inequalities at which we can give unconventional solutions. The applications and some solutions are selected from the bibliography attached to this paper. We consider that the solutions that we can give to the presented inequalities are interesting and can be used also in other cases. The applications are divided into three categories. For the first category will be used Jensen’ s inequality. For second class, will transform the inequalities in optimization problems with restrictions. And to the third category, will be used in the proofs, the vectorial calculation.