| Riemann积分和Lebesgue积分的联系和本质区别 |
| |
| 引用本文： | 范君好.Riemann积分和Lebesgue积分的联系和本质区别[J].桂林师范高等专科学校学报,2010,24(3):182-186. |
| |
| 作者姓名： | 范君好 |
| |
| 作者单位： | 桂林师范高等专科学校,数学与计算机科学系,广西,桂林,541001 |
| |
| 摘 要： | 从Riemann积分和Lebesgue积分的思想形成的历史入手,深入分析二者的定义,通过对二者的比较,研究Riemann积分和Lebesgue积分的联系和区别。通过论证得知,从Riemann积分推广到Lebesgue积分的本质是从不完备空间Ra,b]到完备空间La,b]的扩充。
|
| 关 键 词： | Riemann积分 Lebesgue积分 完备空间 |
The Connection and Essential Distinction of Integral Riemann and Integral Lebesgue |
| |
| Fan Junhao.The Connection and Essential Distinction of Integral Riemann and Integral Lebesgue[J].Journal of Guilin College of Education,2010,24(3):182-186. |
| |
| Authors: | Fan Junhao |
| |
| Institution: | Fan Junhao(Dept.of Mathematics and Computer Science,Guilin Normal College,Guilin,Guangxi 541001,China) |
| |
| Abstract: | From the formation of the thinking of Integral Riemann and Integral Lebesgue,the paper analyzes the two definitions in depth,and by comparison of those two it studies their connection and distinction.By demonstrating,it is proved that the nature of the promotion from Integral Riemann to Integral Lebesgue is the expansion from the incomplete space R a,b] to the complete space L a,b]. |
| |
| Keywords: | Integral Riemann Integral Lebesgue complete space |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
