| 不动点定理在积分第一中值定理中的应用 |
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| 引用本文： | 肖翔,刘瑞娟,张子厚. 不动点定理在积分第一中值定理中的应用[J]. 上海工程技术大学学报, 2008, 22(2): 180-181. DOI: 10.3969/j.issn.1009-444X.2008.02.019 |
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| 作者姓名： | 肖翔 刘瑞娟 张子厚 |
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| 作者单位： | 上海工程技术大学基础教学学院,上海,201620;上海工程技术大学高等职业技术学院,上海,200437 |
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| 摘 要： | 利用不动点定理证明了积分第一中值定理的有关结论.在加强一个条件0
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| 关 键 词： | 积分第一中值定理 压缩映照 不动点定理 |
Application of Fixed Point Theorem to First Integral Mean Value Theorem |
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| XIAO Xiang,LIU Ruijuan,ZHANG Zihou. Application of Fixed Point Theorem to First Integral Mean Value Theorem[J]. Journal of Shanghai University of Engineering Science, 2008, 22(2): 180-181. DOI: 10.3969/j.issn.1009-444X.2008.02.019 |
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| Authors: | XIAO Xiang LIU Ruijuan ZHANG Zihou |
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| Affiliation: | XIAO Xiang, LIU Ruijuan, ZHANG Zihou( 1. College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China; 2. Vocational and Technical College, Shanghai University of Engineering Science, Shanghai 200437, China) |
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| Abstract: | Some results of the first integral mean value theorem were proved. With the additional condition of 0 〈 k 〈 f′ （ x ） 〈 1, it shows that the unique ξ satisfies the first integral mean value theorem by the contraction mapping T（x） on the [a,b]. |
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| Keywords: | first integral mean value theorem contraction mapping fixed point theorem |
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