| 变上限积分的等价无穷小研究 |
| |
| 引用本文： | 蒋政,钱学明.变上限积分的等价无穷小研究[J].河北北方学院学报(自然科学版),2011,27(5):21-24. |
| |
| 作者姓名： | 蒋政 钱学明 |
| |
| 作者单位： | 1. 无锡科技职业学院基础部,江苏无锡,214028
2. 无锡科技职业学院物联网技术学院,江苏无锡,214028 |
| |
| 摘 要： | 讨论一类变上限积分的等价无穷小问题.利用带有Peano型余项的Taylor公式,获得了变上限积分的Taylor展开式,并由此得到了当变上限积分是一个无穷小时的等价无穷小的一般公式.该公式在含变上限积分的极限问题中,结合等价无穷小替换,可以极大地简化运算.
|
| 关 键 词： | 变上限积分 Taylor公式 等价无穷小 |
Equivalent Infinitesimal of Variable Upper Limit Integral |
| |
| JIANG Zheng,QIAN Xue-ming.Equivalent Infinitesimal of Variable Upper Limit Integral[J].Journa of Hebei North University:Natural Science Edition,2011,27(5):21-24. |
| |
| Authors: | JIANG Zheng QIAN Xue-ming |
| |
| Institution: | JIANG Zheng1,QIAN Xue-ming2 (1.Basic Course Department,Wuxi Professional College of Science and Technology,Wuxi 214028,Jiangsu,China,2.School of Internet of Things,China) |
| |
| Abstract: | This paper discusses a class of the equivalent infinitesimal of variable upper limit integral.Using the Taylor formula with Peano type remainder term,the Taylor expansion on variable upper limit integral is obtained.The general formula on the equivalent infinitesimal of variable upper limit integral,which is the skillful application on the replace of equivalent infinitesimal to solve complicated limit problem. |
| |
| Keywords: | variable upper limit integral Taylor formula equivalent infinitesimal |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
