| 无穷区间上全连续函数及其性质探讨 |
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| 引用本文： | 张节松.无穷区间上全连续函数及其性质探讨[J].咸阳师范学院学报,2011,26(6). |
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| 作者姓名： | 张节松 |
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| 作者单位： | 淮北师范大学数学科学学院,安徽淮北,235000 |
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| 基金项目： | 淮北师范大学教研基金项目 |
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| 摘 要： | 提出了无穷区间上全连续函数的概念，并主要用紧区间逼近及举反例的方法成功讨论了其性质，打破了全连续函数在区间a，b]上的局限性。
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| 关 键 词： | 全连续函数 绝对连续 无穷区间 |
Completely Continuous Function Defined on Infinite Interval and Its Property Disscusion |
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| ZHANG Jie-song.Completely Continuous Function Defined on Infinite Interval and Its Property Disscusion[J].Journal of Xianyang Normal University,2011,26(6). |
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| Authors: | ZHANG Jie-song |
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| Institution: | ZHANG Jie-song(School of Mathematics Science,Huaibei Normal University,Huaibei 235000,Anhui,China) |
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| Abstract: | This paper advances the notion of completely continuous function that is defined on infinite interval, and more, we successfully discuss its properties mainly using the methods of approximating by compact interval and giving counterexample, which breaks the boundedness of completely continuous function that is defined on finite interval. |
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| Keywords: | completely continuous function absolutely continuous infinite interval |
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