| 高维欧氏空间中正则曲线的微分中值定理 |
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| 引用本文： | 钟春平.高维欧氏空间中正则曲线的微分中值定理[J].泉州师范学院学报,2009,27(2):14-17. |
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| 作者姓名： | 钟春平 |
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| 作者单位： | 厦门大学数学科学学院,福建厦门,361005 |
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| 基金项目： | 国家自然科学基金，福建省高等学校新世纪优秀人才支持计划 |
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| 摘 要： | 将拉格朗日中值定理和柯西中值定理分别推广到R^n中的正则曲线情形，结果表明平面曲线的某些几何性质在高维空间的曲线情形仍成立．
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| 关 键 词： | 拉格朗日中值定理 柯西中值定理 空间正则曲线 |
On Mean Value Theorems with Respect to Regular Curves in R~n |
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| ZHONG Chun-ping.On Mean Value Theorems with Respect to Regular Curves in R~n[J].Journal of Quanzhou Normal College,2009,27(2):14-17. |
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| Authors: | ZHONG Chun-ping |
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| Institution: | School of Mathematical Sciences;Xiamen University;Xiamen 361005;China |
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| Abstract: | In this paper,the Lagrange and Cauchy mean value theorems are generalized to regular curves in Rn.Our results show that some interesting geometric properties of curves in R2 are still held in the more general Euclidean space of dimension n. |
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| Keywords: | Lagrange mean value theorem Cauchy mean value theorem regular curves in Rn |
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