| 函数列具有积分等度绝对连续的判定 |
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| 引用本文： | 王国阳,张纪平.函数列具有积分等度绝对连续的判定[J].泉州师范学院学报,2011,29(4):5-7. |
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| 作者姓名： | 王国阳 张纪平 |
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| 作者单位： | 1. 泉州经贸职业技术学院,福建泉州,362000
2. 泉州师范学院数学与计算机科学学院,福建泉州,362000 |
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| 摘 要： | 应用对可积函数列取积分上确界方法，给出函数列具有积分等度绝对连续的一个充要条件，得出函数列具有积分等度绝对连续的一系列等价命题，从而完善了积分和极限交换顺序．
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| 关 键 词： | 可积函数 积分等度绝对连续 度量收敛 上确界 |
Sequence of Functions with Absolutely Continuous Integrals to Determine the Degree |
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| WANG Guo-yang,ZHANG Ji-ping.Sequence of Functions with Absolutely Continuous Integrals to Determine the Degree[J].Journal of Quanzhou Normal College,2011,29(4):5-7. |
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| Authors: | WANG Guo-yang ZHANG Ji-ping |
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| Institution: | WANG Guo-yang1,ZHANG Ji-ping2(1.Quanzhou College of Economics and Trade,Fujian 362000,China,2.School of Mathmatics and Computer Science,Quanzhou Normal University,China) |
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| Abstract: | Applicating integrable functions using the integral supremum method,this paper gives a sufficient and necessary condition to conclude the degree sequence of functions with absolutely continuous integration,it also gives sequence of functions with absolutely continuous degree of integration such as a series of equivalent propositions,in order to improve the integration and limit the exchange order. |
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| Keywords: | integrable function absolutely continuous degree of integration convergence measure supremum |
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