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  • 张毅,白波,梁坚.广义微分中值定理“中间点”ξ的单调性连续性和可导性[J].广西科学院学报,2010,26(2):89-92.    [点击复制]
  • ZHANG Yi,BAI Bo,LIANG Jian.The Monotony,Continuity and Derivative for the Mid-point ξ of the Mean-value Theorem of Differential[J].Journal of Guangxi Academy of Sciences,2010,26(2):89-92.   [点击复制]
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广义微分中值定理“中间点”ξ的单调性连续性和可导性
张毅, 白波, 梁坚
0
(柳州城市职业学院, 广西柳州 545001)
摘要:
函数f(x)在开区间(a,b)内左、右可导的弱条件下,得到3个关于广义中值定理"中间点"ξ的单调性、连续性及可导性的定理.
关键词:  微分中值定理  广义微分中值定理  中间点
DOI:
投稿时间:2010-02-13
基金项目:广西教育厅科研项目(桂科自0728041)资助。
The Monotony,Continuity and Derivative for the Mid-point ξ of the Mean-value Theorem of Differential
ZHANG Yi, BAI Bo, LIANG Jian
(Liuzhou City Vocational College, Liuzhou, Guangxi, 545001, China)
Abstract:
In the open interval (a,b) within the left and right derivative for f(x),three theorems of monotony、continuity and derivative for the mid-point of the mean-value theorem of differential were obtained.
Key words:  mean value theorem of differentials  generalized mean value theorem of differentials  mid-point

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