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中值定理“中间点”渐近性的推广
引用本文:许安国,韩廷武.中值定理“中间点”渐近性的推广[J].山东科技大学学报(自然科学版),1994(3).
作者姓名:许安国  韩廷武
摘    要:本文推广了柯西定理、拉格朗日定理“中间点”的渐近性,导出了推广的中值定理及高阶中值定理“中间点”的渐近性。

关 键 词:中值定理  导数  渐近定理  中间点  柯西定理  拉格朗日定理

THE GENERALIZATION OF THE MEAN VALUE THEOREM ABOUT THE ASYMPTOTIC CHARACTERISTIC OF THE MIDPOINT
Xu Anguo, Han Tingwu.THE GENERALIZATION OF THE MEAN VALUE THEOREM ABOUT THE ASYMPTOTIC CHARACTERISTIC OF THE MIDPOINT[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,1994(3).
Authors:Xu Anguo  Han Tingwu
Institution:Dept. of Basic Courses
Abstract:In this paper,Cauchy Theorem and Lagrange Theorem about the asymptotic characteristic of the midpoint have been generalized.Then we lead to the asymptotic characteristic of the midpoint about the generalized mean value theorem and the mean value theorem of higher order.
Keywords:mean--value theorems  derivative  asymptotic  midpoint  asymptotic characteristic  cauchy theorem  Lagrange theorem
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