| 微积分在证明不等式中的应用 |
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| 引用本文： | 王凤莉.微积分在证明不等式中的应用[J].石家庄职业技术学院学报,2013(6):78-80. |
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| 作者姓名： | 王凤莉 |
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| 作者单位： | 石家庄职业技术学院建筑工程系,河北石家庄050081 |
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| 摘 要： | 不等式的证明是高等数学的一个难点.归纳了利用微积分证明不等式的五种方法：微分中值定理、函数单调性、函数最值、函数凹凸性和定积分.
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| 关 键 词： | 微积分 不等式 微分中值定理 函数的凹凸性 |
Calculus and applications in the proof of inequalities |
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| WANG Feng-li.Calculus and applications in the proof of inequalities[J].Journal of Shijiazhuang Vocational Technology Institute,2013(6):78-80. |
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| Authors: | WANG Feng-li |
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| Institution: | WANG Feng-li (Department of Architecture, Shijiazhuang Vocational Technology Institute, Shijiazhuang, Hebei 050081, China) |
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| Abstract: | Proof of inequalities is a difficulty in advanced mathematics. So, five methods are discussed a bout the application of differential mean value theorem, monotonicity of function, maximum function, con cave-convex functions, and definite integrals in calculus. |
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| Keywords: | calculus inequality differential mean value theorem concave-convex function |
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