| 函数凸性的新判据 |
| |
| 引用本文： | 刘仁义.函数凸性的新判据[J].绵阳师范学院学报,2004,23(5):9-11. |
| |
| 作者姓名： | 刘仁义 |
| |
| 作者单位： | 陇东学院数学系,甘肃庆阳,745000 |
| |
| 摘 要： | 关于凸函数的判定,通常多用微商和二阶微商。"改微为差",改导数和二阶导数分别为对称导数与二阶对称导数,即可得到判定函数凸性的四个重要结论。
|
| 关 键 词： | 凸函数 差商 导数 对称导数 |
| 文章编号： | 1672-612x(2004)05-0009-03 |
On New Criteria of Functional Convexity |
| |
| LIU Ren-yi.On New Criteria of Functional Convexity[J].Journal of Mianyang Normal University,2004,23(5):9-11. |
| |
| Authors: | LIU Ren-yi |
| |
| Abstract: | Generally,derivative and second-order derivative are used to decide functional convexity. Four important conclusions of deciding functional convexity will be available by converting derivative into differential quotient, derivative and second-order derivative into symmetric derivative and second-order symmetric derivative respectively. |
| |
| Keywords: | convex function differential quotient derivative symmetric derivative |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
