| 关于Cauchy中值函数若干分析性质的讨论 |
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| 引用本文： | 樊守芳.关于Cauchy中值函数若干分析性质的讨论[J].哈尔滨师范大学自然科学学报,2002,18(6):5-10. |
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| 作者姓名： | 樊守芳 |
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| 作者单位： | 绥化师范专科学校 |
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| 摘 要： | 文献2-6]对微分中值定理“中间点”的渐近性质进行了研究,本文在此基础上,给出了“Cauchy中值函数”的定义,对Cauchy中值函数的分析性质进行了系统的综合讨论,证明了Cauchy中值函数的单调性、可积性、连续性、可微性等分析性质。
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| 关 键 词： | Cauchy中值函数 分析性质 单调性 可积性 连续性 可微性 微分中值定理 |
THE DISCUSSION ON ANALYSING QUALITIES OF CAUCHY MEAN VALUE FUNCTION |
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| Fan Shoufang.THE DISCUSSION ON ANALYSING QUALITIES OF CAUCHY MEAN VALUE FUNCTION[J].Natural Science Journal of Harbin Normal University,2002,18(6):5-10. |
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| Authors: | Fan Shoufang |
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| Institution: | Suihua Teachers College |
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| Abstract: | The asymptotic characteristic of "intermediate point" for differential mean value theorem is researched in references 2-6]. Based on this, the definition of Cauchy mean value function is given in this paper. Analysing qualities of Cauchy mean value function are discussed. Analysing qualities of Cauchy mean value function's monotonicity, integrability, continuity, differentiability are proved. |
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| Keywords: | Cauchy mean value function Monotonicity Integrability Continuity Differen-tiability |
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