| 论微分中值不等式 |
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| 引用本文： | 王锦新,张菁.论微分中值不等式[J].辽宁工程技术大学学报(自然科学版),1998,17(2):215-217. |
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| 作者姓名： | 王锦新 张菁 |
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| 作者单位： | [1]辽宁工程技术大学 [2]阜新工业学校 |
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| 摘 要： | 以视经典等式为联接条件与不等式或联接不等式两端的中介桥梁为研究手段，研究讨论与微分中值公式相对应的微分中值不等式，进而给出具有一般性的矩阵微分中值不等式，而视Ｒｏｌｌｅ微分中值不等式、Ｌａｇｒａｎｇｅ微分中值不等式。Ｃａｕｃｈｙ微分中值不等式、向量微分中值不等式为其数。
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| 关 键 词： | 微分中值不等式 矩阵 向量 Lagrange微分 |
On Derivative Mean Value Inequality |
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| Wang Jinxin,Zhang Jing Xia Chunlin.On Derivative Mean Value Inequality[J].Journal of Liaoning Technical University (Natural Science Edition),1998,17(2):215-217. |
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| Authors: | Wang Jinxin Zhang Jing Xia Chunlin |
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| Abstract: | Inequality has a very important position in mathematical theory , but equality can be seen as the bridge in studying inequality.On the basis of derivative mean value fomula , this paper gives a general matrix derivative mean value inequality and regards Rolle derivative mean value inequality lagrange derivative mean value inequality Cauchy derivative mean value inequality and vector derivative mean value inequality as its special types. |
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| Keywords: | derivative mean value inequality matrix vector |
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