| 正项级数收敛性的判别法的进一步研究 |
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| 引用本文： | 骞龙江. 正项级数收敛性的判别法的进一步研究[J]. 价值工程, 2011, 30(26): 152-153 |
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| 作者姓名： | 骞龙江 |
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| 作者单位： | 商洛职业技术学院,商洛,726000 |
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| 基金项目： | 陕西省自然科学基金项目(SJ08A28)资助 |
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| 摘 要： | 用初等方法深入研究了正向级数判别法,基于比值判别法和根值判别法判别法思想,研究了更高精度判别法,给出不断提高精度的判别法的构造思想以及一般性定理。
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| 关 键 词： | 正项级数 判别法 收敛速度 |
A New Convergence Criterion of Positive Term Series |
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| Qian Longjiang. A New Convergence Criterion of Positive Term Series[J]. Value Engineering, 2011, 30(26): 152-153 |
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| Authors: | Qian Longjiang |
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| Affiliation: | Qian Longjiang(Shangluo Vocational & Technical College,Shangluo 726000,China) |
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| Abstract: | Using elementary methods,the positive series judge method In-depth is studied,Based on the idea of Ratio test and the root value based identification method,this paper gives a new and more exact criterion.Furthermore,it proposes a general idea to construct a series of criterions with increasing precision.By the way,it proves that there is no best criterion that can judge every series by comparing the quotient of adjacent terms,or there is no positive term series that have the lowest speed of convergence. |
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| Keywords: | positive term series judge method speed of convergence |
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