| 用近似凸性研究拟凸函数 |
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| 引用本文： | 旷华武,颜宝平. 用近似凸性研究拟凸函数[J]. 西南师范大学学报(自然科学版), 2004, 29(1): 25-28 |
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| 作者姓名： | 旷华武 颜宝平 |
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| 作者单位： | 1. 贵州大学,理学院,贵州,贵阳,550025
2. 铜仁师范高等专科学校,数学系,贵州,铜仁,550043 |
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| 基金项目： | 贵州大学自然科学基金(2001006)，贵州省教育厅基金(2002301). |
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| 摘 要： | 用集合的近似凸性研究函数的拟凸性.在较弱假设下,获得了拟凸性的一些等价条件.
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| 关 键 词： | 拟凸函数 闭集 近似凸集 下半连续 |
| 文章编号： | 1000-5471(2004)01-0025-04 |
| 修稿时间： | 2003-04-14 |
To Study Quasiconvex Functions by Applying Nearly Convexity |
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| KUANG Hua-wu,YAN Bao-ping. Dept. of Mathematics,Gui Zhou University,Guiyang Guizhou ,China,. Dept. of Mathematics,Tong Ren Teacher's College,Tongren Guizhou ,China. To Study Quasiconvex Functions by Applying Nearly Convexity[J]. Journal of southwest china normal university(natural science edition), 2004, 29(1): 25-28 |
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| Authors: | KUANG Hua-wu YAN Bao-ping. Dept. of Mathematics Gui Zhou University Guiyang Guizhou China . Dept. of Mathematics Tong Ren Teacher's College Tongren Guizhou China |
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| Affiliation: | KUANG Hua-wu~1,YAN Bao-ping~21. Dept. of Mathematics,Gui Zhou University,Guiyang Guizhou 550025,China,2. Dept. of Mathematics,Tong Ren Teacher's College,Tongren Guizhou 554300,China |
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| Abstract: | Quasiconvex functions are studied by applying nearly convexity of sets. Under weaker assumptions, some equivalent conditions for quasiconvexity are derived. |
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| Keywords: | quasiconvex functions closed sets (weak) nearly convex sets lower semicontinuity |
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