| 关于积分上限函数的周期性研究 |
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| 引用本文： | 倪华,田立新.关于积分上限函数的周期性研究[J].数学学习,2011,14(1):9-11. |
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| 作者姓名： | 倪华 田立新 |
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| 作者单位： | 江苏大学理学院,江苏镇江,212013 |
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| 基金项目： | 国家自然科学基金，江苏大学高级人才专项基金 |
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| 摘 要： | 探讨积分上限函数的周期性.得到积分上限函数是周期函数的两个充分必要条件.并得到当被积甬数是周期函数时.无穷限的反常积分发散性的一个结论.
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| 关 键 词： | 积分上限函数 周期性 平均值 |
Periodicity of Functions Defined by Integrals |
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| NI Hua,TIAN Li-xin.Periodicity of Functions Defined by Integrals[J].Studies In College Mathematics,2011,14(1):9-11. |
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| Authors: | NI Hua TIAN Li-xin |
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| Institution: | (School of Science, Jiangsu University, Zhenjiang 212013, PRC) |
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| Abstract: | This paper studies the periodicity of the function defined as a definite integral with its upper limit being viewed as the variable. Two necessary and sufficient conditions are obtained, and a conclusion about the divergence of an improper integral with periodic integrand is drawn. |
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| Keywords: | function defined by integral periodicity mean value |
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