| 区间套原理及其应用 |
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| 引用本文： | 徐裕光,杨祖葵.区间套原理及其应用[J].昆明师范高等专科学校学报,1999,21(4):10-13. |
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| 作者姓名： | 徐裕光 杨祖葵 |
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| 作者单位： | [1]昆明师范高等专科学校数学系，昆明650031 [2]昆明市电大，昆明650216 |
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| 摘 要： | 章指出：区间套原理不仅在实数理论中是重要的，而且对于许多应用问题也是重要的。从应用的观点来看，对于实分析和抽象分析中的许多存在唯一性问题应用区间套原理去讨论是有趣的。应用这个方法，五个应用实例被给出。
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| 关 键 词： | 区间套原理 应用 稠密子集 紧性 算术平均值－几何平均值－周和平均值不等式 实复函数 |
THE PRINCIPLE OF NESTED INTERVALS AND ITS APPLICATIONS |
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| Xu Yuguang.THE PRINCIPLE OF NESTED INTERVALS AND ITS APPLICATIONS[J].Journal of Kunming Teachers College,1999,21(4):10-13. |
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| Authors: | Xu Yuguang |
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| Abstract: | Th purpose of this noe is to point out: the principle of nested intervals is important not only in the theory of real number but for various applied problems. From the point of view of application, the prindple of nesnd inter-vals is an interesting method to discuss the problems of existence and nniquenes in the real and ahstract analysis. Us-ing this method, five applied problems are given. |
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| Keywords: | principle of nested intervals dense subset compactness arithmetic mean-geometric mean-harmonic mean inequality |
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