| 闭区间连续函数介值性质的推广 |
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| 引用本文： | 唐妍霞,王宇红. 闭区间连续函数介值性质的推广[J]. 河北北方学院学报(自然科学版), 2007, 23(5): 1-2,6 |
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| 作者姓名： | 唐妍霞 王宇红 |
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| 作者单位： | 河北北方学院理学院数学系,河北,张家口,075000;河北北方学院理学院数学系,河北,张家口,075000 |
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| 摘 要： | 由于闭区间连续函数介值性质成立与区间有关,不仅要求中间值被取到,而且要求相应的自变量的值在所论的区间内.因此,通过对区间的推广,得到函数介值性质成立的充分必要条件.
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| 关 键 词： | 连续性 介值性质 有理数 闭集合 |
| 文章编号： | 1673-1492（2007）05-0001-02 |
| 修稿时间： | 2007-04-23 |
A Generalization of Closed Interval Continuous Function Intermediate Value Theorem |
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| TANG Yan-xia,WANG Yu-hong. A Generalization of Closed Interval Continuous Function Intermediate Value Theorem[J]. JournalofHebeiNorthUniversity(NaturalScienceEdition), 2007, 23(5): 1-2,6 |
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| Authors: | TANG Yan-xia WANG Yu-hong |
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| Affiliation: | Department of Mathematics, College of Science, Hebei North University, Zhangjiakou 075000, Hebei, China |
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| Abstract: | Closed interval continuous function intermediate value theorem connects with the interval.It not only requres that the intermediate value is got,but also requires that the relavant argument values are in the interval to be talked about.Therefore,through the means of the generalization to the interval,we obtain the sufficient necessary condition of which function intermediate value theorem are true. |
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| Keywords: | continuity intermediate value property rational number closed set |
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