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| 广义Riemann可积与Lebesgue可积关系注记 | |
| 引用本文： | 袁德美. 广义Riemann可积与Lebesgue可积关系注记[J]. 重庆工商大学学报(自然科学版), 2002, 19(2): 1-3 |
| 作者姓名： | 袁德美 |
| 作者单位： | 重庆工商大学数学与计算机科学系,重庆,400033 |
| 摘 要： | 研究了有限区间上无界函数及无限区间上函数的广义Riemann可积性、广义Riemann绝对可积性与Lebesgue可积性之间的关系 ,得到了一些充分必要条件 |
| 关 键 词： | 广义Riemann可积 广义Riemann绝对可积 Lebesgue可积 Fatou引理 Lebesgue控制收敛定理 |
| 文章编号： | 1006-3293(2002)02-0001-03 |
| 修稿时间： | 2001-12-10 |
Notes on Relations Between Generalized Riemann Integrability and Lebesgue Integrability |
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| YUAN De mei. Notes on Relations Between Generalized Riemann Integrability and Lebesgue Integrability[J]. Journal of Chongqing Technology and Business University:Natural Science Edition, 2002, 19(2): 1-3 | |
| Authors: | YUAN De mei |
| Abstract: | The relations between generalized Riemann absolutely Integrability and Lebesgue integrability of the unbounded functions on finite intervals and the functions on infinite intervals are discussed,and some sufficient and necessary conditions concerned are obtained. |
| Keywords: | generalized Riemann Integrability generalized Riemann absolutely integrability Lebesgue integrability Fatou lemma Lebesgue dominated convergence theorem |
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