有关E-凸函数和E-拟凸函数的水平集  

On level sets of E-convex function and E-quasiconvex function

作　　者：秦春蓉[1] 彭建文[2] 

机构地区：[1]重庆邮电大学移通学院数理教学部,重庆401520 [2]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《重庆邮电大学学报（自然科学版）》2009年第6期834-836,共3页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：重庆自然科学基金(8409)

摘　　要：通过反例说明文献[1]给出的一些有关E-凸函数和E-拟凸函数水平集的错误性质,并对文献[1]中错误结论进行了纠正,给出了E-凸函数和E-拟凸函数一些新的性质。In Ref. [ 1 ], some properties of E-level sets both for the E-convex functions and E-qnasiconvex functions were presented. In this paper, some examples were given to illustrate that some results in [ 1 ] are incorrect. Then, some new properties of E-convex functions and E-quasiconvex functions which are the corrections of those in [ 1 ] were given.

关 键 词：E-凸集 E-凸函数 E-拟凸函数 水平集 反例 

分 类 号：O221[理学—运筹学与控制论]