For geodesic triangle in 2- dimensional constant curvature space Σ, the author improves some geometric inequalities on its interior angle by theory of majorization.

对于二维常高斯曲率空间Σ上的测地三角形，研究了其内角的优超关系，并运用优超理论得到2个新的关于其三内角的几何不等式。