| 有关E-凸函数和E-拟凸函数的水平集 |
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| 引用本文： | 秦春蓉,彭建文. 有关E-凸函数和E-拟凸函数的水平集[J]. 重庆邮电学院学报(自然科学版), 2009, 0(6) |
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| 作者姓名： | 秦春蓉 彭建文 |
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| 作者单位： | 重庆邮电大学移通学院数理教学部;重庆师范大学数学与计算机科学学院; |
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| 基金项目： | 重庆自然科学基金(8409) |
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| 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。
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| 关 键 词： | E-凸集 E-凸函数 E-拟凸函数 水平集 反例 |
On level sets of E-convex function and E-quasiconvex function |
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| QIN Chun-rong,PENG Jian-wen. On level sets of E-convex function and E-quasiconvex function[J]. Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition), 2009, 0(6) |
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| Authors: | QIN Chun-rong PENG Jian-wen |
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| Affiliation: | QIN Chun-rong1,PENG Jian-wen2(1.Teaching Department of Mathematics , Physics,College of Mobile Telecommunications,Chongqing University of Posts , Telecommunications,Chongqing 400065,P.R.China,2.College of Mathematics , Computer Science,Chongqing Normal University,Chongqing 400047,P.R.China) |
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| Abstract: | In Ref.[1],some properties of E-level sets both for the E-convex functions and E-quasiconvex 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. |
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| Keywords: | E-convex set E-convex function E-quasiconvex function level set counter examples |
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