凝聚函数拟凸性与伪凸性的充分条件

Sufficiency Condition of Aggregate Function's Quasi-convex Property and Pseudo-convex Property

通过定义函数之间"同定"和"同序"两种关系,讨论这两种关系的相关性质,并在此基础上证明了在上述关系下,拟凸函数和伪凸函数凝聚后仍分别为拟凸函数和伪凸函数的充分条件.

On the basis of two relations between functions defined as same positive definite relation and same order relation the properties of the two relations were discussed.Besides a sufficient condition was established to assure that a new quasi-convex function was formed by the quasi-convex functions aggregated,and a sufficient condition was proposed to guarantee that quasi-convex functions were aggregated to form a new pseudo-convex function.