| 凸函数成为超可加函数的充分条件 |
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| 引用本文： | 赵利彬. 凸函数成为超可加函数的充分条件[J]. 闽江学院学报, 2007, 28(2): 14-15,22 |
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| 作者姓名： | 赵利彬 |
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| 作者单位： | 闽江学院数学系,福建,福州,350108 |
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| 摘 要： | 利用凸函数定义,给出了一类凸函数的性质,得出了该类函数是超可加函数的结论,以及一类凹函数的性质和该类函数是次可加函数的结论.指出了在一定条件下一个超可加函数可以成为一个凹函数,一个次可加函数可以成为凸函数.
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| 关 键 词： | 凸函数 凹函数 超可加函数 次可加函数 |
| 文章编号： | 1009-7821（2007）02-0014-02 |
| 收稿时间： | 2006-08-28 |
| 修稿时间： | 2006-08-28 |
The sufficient condition for convex function to be superaddtive function |
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| ZHAO Li-bin. The sufficient condition for convex function to be superaddtive function[J]. Journal of Minjiang University, 2007, 28(2): 14-15,22 |
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| Authors: | ZHAO Li-bin |
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| Affiliation: | ZHAO Li-bin ( Department of Mathematics, Minjiang University, Fuzhou, Fujian 350108, China) |
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| Abstract: | By means of the definition of convex function,some properties of a type of convex function are obtained.It is found that this type of convex function is superaddtive.Some properties of a type of concave function that is found to be subaddtive function are also obtained.It is also proved that under certain conditions a superaddtive can be a concave function and a subaddtive function can be a convex function. |
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| Keywords: | convex function concave function superaddtive function subaddtive function |
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