| 积分不等式的证明方法刍议 |
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| 引用本文： | 张淑辉. 积分不等式的证明方法刍议[J]. 太原大学学报, 2008, 9(1): 125-127 |
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| 作者姓名： | 张淑辉 |
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| 作者单位： | 太原大学教育学院,数学系,山西,太原,030001 |
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| 摘 要： | 积分不等式是一类重要的不等式，在数学分析中有着广泛的使用，涉及它的证明的题目很多，方法多样，主要有利用函数的单调性、变限积分、平均值不等式、TayLor公式、Schwarz不等式等基本方法。
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| 关 键 词： | 积分不等式 单调性 变限积分 |
| 文章编号： | 1671-5977(2008)01-125-03 |
| 修稿时间： | 2008-02-18 |
Introduction of Some Methods Testifying Integral Invariant |
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| ZHANG Shu-hui. Introduction of Some Methods Testifying Integral Invariant[J]. Journal of Taiyuan University, 2008, 9(1): 125-127 |
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| Authors: | ZHANG Shu-hui |
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| Affiliation: | ZHANG Shu-hui ( Mathematics Department, Taiyuan University Education Institute, Taiyuan 030001, China) |
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| Abstract: | Integral invariant is a kind of important invariant, with broad usage in mathematical analysis. There are many questions and various methods relating to Integral invariant. Its basic methods include mainly using monotonicity of function, integrate of variable interval, average value inequality,Taylor formula, Schwarz inequality and soon. |
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| Keywords: | integral invariant monotonicity integrate of variable interval |
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