摘要
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.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2012年第3期467-471,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10771020)
关键词
优化
凝聚函数
拟凸函数
伪凸函数
optimization
aggregate function
quasi-convex function
pseudo-convex function