| 关于函数平均值求极值问题的研究 |
| |
| 引用本文： | 葛晓娟. 关于函数平均值求极值问题的研究[J]. 青岛大学学报(自然科学版), 1994, 7(3): 58-62 |
| |
| 作者姓名： | 葛晓娟 |
| |
| 作者单位： | 安徽芜湖农校 |
| |
| 摘 要： | 有很多实际问题可以转化为关于［ａ，ｂ］上的函数ｆ（ｘ）的平均值函数的极值问题的研究．本文给出了一个便于极值分析的函数空间，证明了当ｆ（ｘ）时亦有，拓宽了［１］中的相应结论的应用范围．进一步，我们还考虑了这一结果在二维情形下的推广．
|
| 关 键 词： | 平均值函数；单峰；极值 |
ON THE STUDY OF EXTREMUM OF MEAN VALUE FUNCTIONS |
| |
| Ge Xiaojuan. ON THE STUDY OF EXTREMUM OF MEAN VALUE FUNCTIONS[J]. Journal of Qingdao University(Natural Science Edition), 1994, 7(3): 58-62 |
| |
| Authors: | Ge Xiaojuan |
| |
| Affiliation: | Wuhu Agricultural School |
| |
| Abstract: | et f(x) define in [a,b], F(x) denote its mean value function,i. e.Many practical problems can be transformed into the discussions of the extremal value of F(x). In this paper,we constructed a function space in which the discussions of the extremal problem are quiet convenient, and proved that implies F(x). This improved the results of [fi. Furthermore,we extended this result to the case of two-dimensions. |
| |
| Keywords: | mean value function single kurtorsis extremum |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
