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| 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 |
| DOI： |
| 分类号:O174·2 |
| 基金项目:重庆市教委支持项目. |
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| Notes on Relations Between Generalized Riemann Integrability and Lebesgue Integrability |
|
YUAN De mei
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| 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 o |
| Key words: generalized Riemann Integrability,generalized Riemann absolutely integrability,Lebesgue integrability,Fatou lemma,Lebesgue dominated convergence theorem |
