伪凸函数的判断准则  

New Criteria for Pseudo Convex Function

作　　者：赵丽丽[1] 张庆祥[1] 赵阳[1] 

机构地区：[1]延安大学,陕西延安716000

出　　处：《江西科学》2012年第3期280-282,共3页Jiangxi Science

基　　金：陕西省教育厅专项科研基金资助课题(06JK152)

摘　　要：首先,给出了伪凸函数的充要条件的证明,然后利用其定理的证明思想,在E-凸集、伪-E-凸函数概念的基础上,得出了伪-E-凸函数的2个必要条件,并给出其反例验证充分条件不成立。Firstly, the proof of a necessary and sufficient condition of the pseudo-convex function is given, then by using the proof ideas of the theorem, two necessary condition for pseudo-E-convex functions is obtained on the basis of the concept of E-convex sets and concept of pseudo-E-convex functions, contrary examples to prove sufficient condition does not hold is given.

关 键 词：E-凸集 E-凸函数 伪凸函数 伪-E-凸函数 

分 类 号：O174.13[理学—数学]