Geometric ineqaulities by using majorization

As this thesis is a review, in this thesis, by using majorization theory, inequalities related to the angles and edges of a triangle are considered. The first part of the thesis is reserved for introduction and in this section information on the history of majorization is given. The second section is devated to some basic concepts and theories. In the third section, concepts of majorization, doubly stochastic matris and Schur – convex functions are introduced. In the fourth section, ınequalities related to the edges and angles of special triangles are discassed in detail.