| 带有皮亚诺(Peano)型余项的泰勒公式的推广与应用 |
| |
| 引用本文： | 王倩. 带有皮亚诺(Peano)型余项的泰勒公式的推广与应用[J]. 沈阳建筑工程学院学报(自然科学版), 2005, 21(6): 774-776 |
| |
| 作者姓名： | 王倩 |
| |
| 作者单位： | 沈阳农业大学基础部,辽宁沈阳110161 |
| |
| 基金项目： | 辽宁省教育厅高等学校科学研究项目(2004C058) |
| |
| 摘 要： | 目的 推广带有皮亚诺（Peano）型余项的泰勒公式及应用．方法 应用带有皮亚诺型余项的泰勒公式。将判断函数极值性和凸凹性的定理进行推广．结果 得到判断函数极值点和曲线拐点的充分条件．结论 应用放宽条件的带有皮亚诺（Peano）型余项的泰勒公式扩展了其使用范围。使计算更加简捷．
|
| 关 键 词： | 泰勒公式 极值 保号性 拐点 |
| 文章编号： | 1671-2021(2005)06-0774-03 |
| 修稿时间： | 2005-08-10 |
Promotion and Application of Formula Taylor with Surplus Item Peano |
| |
| WANG Qian. Promotion and Application of Formula Taylor with Surplus Item Peano[J]. Journal of Shenyang Archit Civil Eng Univ: Nat Sci, 2005, 21(6): 774-776 |
| |
| Authors: | WANG Qian |
| |
| Abstract: | In order to generalize Formula Taylor with Surplus Item Peano and its application,the application of Formula Taylor with the Peano form of the remainder was discussed in calculating the limits of indeteuminate form and analyzing the properties of functions.By generalizing the theorems used to judge such properties as local minimum and local maximum and the concave upward and downward in Higher Mathematics and Mathematical Analysis,the sufficiency conditions to judge the local minimum and maximum of functions and the inflection points of curves were obtained. |
| |
| Keywords: | Taylor formula extreme value the character of keep symbol the pot of corner |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
