广义递增-递减函数与复合函数的广义凸性  

Generalized increasing-decreasing functions and generalized convexity of the compound functions

作　　者：常健[1] 张庆祥[1] 

机构地区：[1]延安大学数学与计算科学学院,陕西延安716000

出　　处：《辽宁师范大学学报（自然科学版）》2007年第1期31-33,共3页Journal of Liaoning Normal University:Natural Science Edition

基　　金：陕西省自然科学基金资助项目(98SL07);陕西省教育厅专项科研基金资助项目(01JK063)

摘　　要：给出了广义递增-递减函数的概念,并讨论了它与递增-递减函数的关系,在广义梯度的基础上,得到了一类复合函数的凸性、广义伪凸性和拟凸性的判别准则.In this paper, the concept of generalized increasing-decreasing functions is given, and the relationship between generalized increasing-decreasing and increasing-decreasing functions is discussed. Finally, basing on the generalized gradient, we get a criterion to identify the convexity, generalized pseudoconvexity and quasiconvexity for compound functions.

关 键 词：广义递增-递减函数 复合函数 广义凸性 

分 类 号：O224[理学—运筹学与控制论]