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积分型Cauchy中值定理中间点的渐近性
引用本文:戴立辉,刘龙章. 积分型Cauchy中值定理中间点的渐近性[J]. 大学数学, 2009, 25(3)
作者姓名:戴立辉  刘龙章
作者单位:闽江学院,数学系,福建,福州,350108;宁波工程学院,基础部,浙江,宁波,315016
摘    要:
讨论了当区间的两个端点都趋于其内一定点时,积分型Cauchy中值定理"中间点"ξ的渐近性,推广并改进了文献[1]之中的相应结果.

关 键 词:积分型Cauchy中值定理  中间点  渐近性  泰勒公式

Asymptotic Properties of Intermediate Point for Cauchy Mean Value Theorem of Integral Type
DAI Li-hui,LIU Long-zhang. Asymptotic Properties of Intermediate Point for Cauchy Mean Value Theorem of Integral Type[J]. College Mathematics, 2009, 25(3)
Authors:DAI Li-hui  LIU Long-zhang
Affiliation:1.Department of Mathematics;Minjiang University;Fuzhou;Fujian 350108;China;2.Department of Basic Course;Ningbo Institute;Ningbo;Zhejiang 315016;China
Abstract:
This paper discusses the asymptotic properties of intermediate point for Cauchy mean value theorem of integral type,when the two end points of interval tend to a fixed point in the interval.And the corresponding results in literature [1] are generalized and ameliorated.
Keywords:Cauchy mean value theorem of integral type  intermediate point  asymptotic properties  Taylor formula  
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