| 数列x_(n_m)~r_(n_m+p)审敛原理 |
| |
| 引用本文： | 倪培溉.数列x_(n_m)~r_(n_m+p)审敛原理[J].数学的实践与认识,2006,36(3):292-294. |
| |
| 作者姓名： | 倪培溉 |
| |
| 作者单位： | 中国民用航空学院理学院,天津,300300 |
| |
| 摘 要： | “数列xnm~rnm+p审敛原理”,是数列柯西审敛原理的等价命题.采用“数列xnm~rnm+p审敛原理”判别数列(或数项级数)的敛散性比采用柯西审敛原理更便捷;“数列xnm~rnm+p审敛原理”推广了已有的判别数列(或数项级数)敛散性法则,扩大了已有的判别数列(或数项级数)敛散性法则的应用范围.
|
| 关 键 词： | 数列 子列 收敛 |
| 修稿时间： | 2003年9月6日 |
The Convergence Principle of Sequence xnm～rnm+p |
| |
| NI Pei-gai.The Convergence Principle of Sequence xnm～rnm+p[J].Mathematics in Practice and Theory,2006,36(3):292-294. |
| |
| Authors: | NI Pei-gai |
| |
| Abstract: | A equivalence theorem of Cauchy′s convergence principle for sequence x_(n_m)~r_(n_m+p) is given.The convergence principle for the sequence x_(n_m)~r_(n_m+p) is more convenient than Cauchy′s coinvergence principle in judging a sequence or a series of numbers convergent or not.It extends the existing convergence principles for a sequence or a series of numbers,and enlarges the range of the application of the existing convergence principles. |
| |
| Keywords: | sequence sub-sequence convergence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
