| 收敛无穷限反常积分被积函数在无穷远处的极限 |
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| 引用本文： | 程希旺.收敛无穷限反常积分被积函数在无穷远处的极限[J].安庆师范学院学报(自然科学版),2006,12(1):40-41,45. |
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| 作者姓名： | 程希旺 |
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| 作者单位： | 淮阴师范学院,数学系,江苏,淮安,223200 |
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| 摘 要： | 证明了在一定条件下,收敛无穷限反常积分的被积函数f(x)在无穷远处的极限是零,在f(x)或xf(x)单调的条件下,还得到了更好的结果.
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| 关 键 词： | 无穷限反常积分 被积函数 无穷远 极限 |
| 文章编号： | 1007-4260（2006）01-0040-02 |
| 收稿时间： | 2005-05-11 |
| 修稿时间： | 2005-05-11 |
The Limit of the Integrand of Convergent Abnormal Integral in the Infinite Range of Integration at Infinity |
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| CHENG Xi-wang.The Limit of the Integrand of Convergent Abnormal Integral in the Infinite Range of Integration at Infinity[J].Journal of Anqing Teachers College(Natural Science Edition),2006,12(1):40-41,45. |
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| Authors: | CHENG Xi-wang |
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| Abstract: | It is proved that the limit of the integrand f(x) of convergent abnormal integral in the infinite range of integration at infinity is zero on certain conditions.If f(x) or xf(x) is monotonic,some better results can be obtained. |
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| Keywords: | abnormal integral in the infinite range of integration integrand infinity limit |
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