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关于中值定理的“中间点”
引用本文:张秀玲.关于中值定理的“中间点”[J].山西师范大学学报,1993(4).
作者姓名:张秀玲
作者单位:山西师大数学系
摘    要:本文简洁地综述笔者已给出的第一、第二积分中值定理、拉格朗日与柯西微分中值定理“中间点”在较弱条件下的渐近估计式.另还对泰勒定理的“中间点”给出其渐近估计式,其结果很大程度上推广了现有文献3]的有关结果.

关 键 词:中值定理  中间点  渐近估计

On the Intermediate Point of the Mean Value Theorems
Zhang Xiuling.On the Intermediate Point of the Mean Value Theorems[J].Journal of Shanxi Teachers University,1993(4).
Authors:Zhang Xiuling
Institution:Zhang Xiuling
Abstract:This paper gives a brief summary on the asympotic estimations of the intermediate point of the first and second integral mean value theorems as well as the Lagrange and Cauchy differential mean value theorems got by the author. In addition, an asympotic estimation of the intermediate point of the Taylor Theorem is obtained which generalized the result in3].
Keywords:Mean value theorem  Intermediate point  Asympotic estimation
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