| 广义递增-递减函数与复合函数的广义凸性 |
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| 引用本文： | 常健,张庆祥. 广义递增-递减函数与复合函数的广义凸性[J]. 辽宁师范大学学报(自然科学版), 2007, 30(1): 31-33 |
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| 作者姓名： | 常健 张庆祥 |
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| 作者单位： | 延安大学,数学与计算科学学院,陕西,延安,716000;延安大学,数学与计算科学学院,陕西,延安,716000 |
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| 基金项目： | 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） |
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| 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.
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| 关 键 词： | 广义递增-递减函数 复合函数 广义凸性 |
| 文章编号： | 1000-1735（2007）01-0031-03 |
| 修稿时间： | 2006-05-25 |
Generalized increasing-decreasing functions and generalized convexity of the compound functions |
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| CHANG Jian,ZHANG Qing-xiang. Generalized increasing-decreasing functions and generalized convexity of the compound functions[J]. Journal of Liaoning Normal University(Natural Science Edition), 2007, 30(1): 31-33 |
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| Authors: | CHANG Jian ZHANG Qing-xiang |
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| Abstract: | 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. |
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| Keywords: | generalized increasing-decreasing functions compound functions~ generalized convexity |
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