| 关于Taylor定理的余项 |
| |
| 引用本文： | 曹承宾, 寿玉亭. 关于Taylor定理的余项[J]. 北京工业大学学报, 1998, 24(4): 82-92. |
| |
| 作者姓名： | 曹承宾 寿玉亭 |
| |
| 作者单位： | 北京建筑工程学院数学教研室 |
| |
| 摘 要： | 讨论了利用微分中值定理
|
| 关 键 词： | 渐近性 中间点 中值定理 |
| 收稿时间： | 1997-05-07 |
The Remainder in Taylor's Formula |
| |
| Cao Chengbin, Shou Yuting. The Remainder in Taylor's Formula[J]. Journal of Beijing University of Technology, 1998, 24(4): 82-92. |
| |
| Authors: | Cao Chengbin Shou Yuting |
| |
| Abstract: | The way to utilize the progressive feature of the intermediate point of differential mean-value theorem to improve Taylor's formula is discussed. It is proved that an extended Taylor's formula can be obtained by using the progressive value of the intermediate point ξ, x0 + Ah, as a substitute for ξ in the remainder in Taylor's formula of f(x0 + h ). And it is also proved that the intermediate point η in the remainder of the extended formula is of progression. Besides the recursion feature of the intermediate point progression is proved, and a more general result is given. |
| |
| Keywords: | asymptotic behavior intermediate point meanvalue theorem |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《北京工业大学学报》浏览原始摘要信息 |
|
点击此处可从《北京工业大学学报》下载全文 |
|
