This skripsi studies some variance of Majorization Inequalities such as the
Classical Hardy-Littlewood-Pólya Majorization Inequality together with its
Riemann integral form. The classical inequality is generalized by using the
concept of relative convexity and as a result we have The Generalization of
Hardy-Littlewood-Pólya Majorization Inequality together with its Riemann
integral form. The proof of the generalized version given here is due to C.P
Niculescu and F. Popovici. Some examples of the application of the resulting
inequalities will also be given in this skripsi such as the proof of Jensen
inequality and power mean inequality.