| 勒贝格积分第二中值定理 |
| |
| 引用本文： | 谢颖超.勒贝格积分第二中值定理[J].徐州师范大学学报(自然科学版),1988(1). |
| |
| 作者姓名： | 谢颖超 |
| |
| 作者单位： | 徐州师范学院数学系 |
| |
| 摘 要： | 本文利用了数学分析中的Riemann积分第二中值定理和Lebesgue积分控制收敛定理,给出了Lebesgue积分第二中值定理及其证明,并将其推广到关于单调递增的连续函数α(x)的L—S积分上。
|
| 关 键 词： | 勒贝格积分 第二中值定理 |
The Second Mid-value Theorom in Lebesgue Integration |
| |
| Xie Yingchao.The Second Mid-value Theorom in Lebesgue Integration[J].Journal of Xuzhou Normal University(Natural Science Edition),1988(1). |
| |
| Authors: | Xie Yingchao |
| |
| Institution: | Xie Yingchao |
| |
| Abstract: | This paper gives the secoed mid-value theorem in Lebesgue integration and its proof by means of the second mid-value theorem in Riemann integration in calculus and Lebesgue control convergent theorem. Its result is also introduced to Lebesgue-Stieltjes integration in monotone increasing continuous function a(x). |
| |
| Keywords: | Lebesgue Integration Second mid-value theorem |
| 本文献已被 CNKI 等数据库收录！ |
