| 关于含参量广义积分一致收敛性的教学研究 |
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| 引用本文： | 赵文强.关于含参量广义积分一致收敛性的教学研究[J].重庆工商大学学报(自然科学版),2011,28(5):458-462466. |
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| 作者姓名： | 赵文强 |
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| 作者单位： | 重庆工商大学数学与统计学院,重庆,400067 |
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| 摘 要： | 对含参量广义积分的一致收敛性给予讨论,从一致收敛的定义出发给出一致收敛的充要条件,以及判断一致收敛的柯西判别法、微分法和级数判别法,并给出证明和运用实例.
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| 关 键 词： | 含参量广义积分 一致收敛 柯西判别法 微分法 级数判别法 |
Uniform Convergence of the Generalized Integral with Parameters |
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| ZHAO Wen-qiang.Uniform Convergence of the Generalized Integral with Parameters[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2011,28(5):458-462466. |
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| Authors: | ZHAO Wen-qiang |
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| Abstract: | The uniform convergence of the generalized integral with parameters is studied. The sufficient and necessary condition of uniform convergence is given based on the definition of the uniform convergence,and Cauchytest,differential method and series method of discriminating the uniform convergence are also given. The proofs and practical examples are also covered. |
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| Keywords: | generalized integral with parameter uniform convergence Cauchy test differential method series discriminating method |
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