| 伪凸函数的判断准则 |
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| 引用本文： | 赵丽丽,张庆祥,赵阳.伪凸函数的判断准则[J].江西科学,2012,30(3):280-282. |
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| 作者姓名： | 赵丽丽 张庆祥 赵阳 |
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| 作者单位： | 延安大学,陕西延安,716000 |
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| 基金项目： | 陕西省教育厅专项科研基金资助课题 |
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| 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。
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| 关 键 词： | E-凸集 E-凸函数 伪凸函数 伪-E-凸函数 |
New Criteria for Pseudo Convex Function |
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| ZHAO Li-li,ZHANG Qing-xiang,ZHAO Yang.New Criteria for Pseudo Convex Function[J].Jiangxi Science,2012,30(3):280-282. |
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| Authors: | ZHAO Li-li ZHANG Qing-xiang ZHAO Yang |
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| Institution: | (College of Mathematics and Computer Science, Yanan University, Shanxi Yanan 716000 PRC) |
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| Abstract: | 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. |
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| Keywords: | E-convex set E-convex function Pseudo-convex function Pseudo-E-convex function |
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