| 二重级数收敛性研究 |
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| 引用本文： | 王建元,张博宇,杨小远.二重级数收敛性研究[J].河南科学,2011,29(12):1387-1397. |
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| 作者姓名： | 王建元 张博宇 杨小远 |
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| 作者单位： | 1. 北京航空航天大学计算机学院,北京,100191
2. 北京航空航天大学 数学与系统科学学院,北京,100191 |
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| 基金项目： | 国家自然基金项目资助(60775018);北京市精品课程建设项目;学校重点教改项目 |
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| 摘 要： | 研究了二重级数和累次级数收敛问题,提出了二重级数与累次级数收敛的判别法并给出了证明,在此基础上研究了二者之间的关系,丰富了级数基本理论.
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| 关 键 词： | 二重级数 累次级数 判别法 |
The Study of Convergence of Double Series |
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| Wang Jianyuan
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Zhang Boyu
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Yang Xiaoyuan.The Study of Convergence of Double Series[J].Henan Science,2011,29(12):1387-1397. |
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| Authors: | Wang Jianyuan Zhang Boyu Yang Xiaoyuan |
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| Institution: | 1.School of Computer Science and Engineering Beihang University,Beijing 100191,China; 2.School of Mathematics and System Sciences,Beihang University,Beijing 100191,China) |
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| Abstract: | Convergence of series is an important issue in mathematical analysis.In this paper,the convergence of double series and iterated series were studied,explore the relationship between the two,and propose the criterion of each one as well as proofs.This study enriched the basic content of series. |
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| Keywords: | double series iterated series criterion of convergence |
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