| 收敛正项级数余项r_n的最优估计 |
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| 引用本文： | 尹申议
,吕锋.收敛正项级数余项r_n的最优估计[J].江苏大学学报(自然科学版),1988(2). |
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| 作者姓名： | 尹申议 吕锋 |
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| 摘 要： | 对收敛正项级数余项r_n的估计有个优劣问题,本文对这个问题作了研究。首先给出正项级数余项r_n的最优估计概念,并指出这种最优估计的基本性质和意义,证明最优估计的两个充要条件,还给出了三个充分性定理(判别法)。最后的例子是判别法的应用和最优估计概念的实例说明。
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| 关 键 词： | 余项 最优估计 估计性质 判别法 |
Optimal Estimation of Remainder r_n in Positive Convergent Series |
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| Yin Shenyi Lu Feng.Optimal Estimation of Remainder r_n in Positive Convergent Series[J].Journal of Jiangsu University:Natural Science Edition,1988(2). |
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| Authors: | Yin Shenyi Lu Feng |
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| Institution: | Yin Shenyi Lu Feng |
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| Abstract: | This problem is investigated by defining the concept of optimal estimation of the remainder in a positive series, and by stating its essential behaviour and significance. Then two necessary and sufficient conditions are estiblished with three criteria for the sufficient conditions given. Finally two examples are given to illustrate their applications and the concept of optimal estimation. |
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| Keywords: | remainder optimal estimation essential behaviour criterion |
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