| 托布利兹(Toeplite)定理的推广 |
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| 引用本文： | 翟秀娜,张文治. 托布利兹(Toeplite)定理的推广[J]. 数学的实践与认识, 2006, 36(8): 374-378 |
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| 作者姓名： | 翟秀娜 张文治 |
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| 作者单位： | 北华航天工业学院基础部,河北,廊坊,065000 |
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| 摘 要： | 托布利兹(T oep lite)定理是数学分析中证明和计算数列极奶的有效工具.将托布利兹(T oep lite)定理推广到函数情形,为证明和计算一类函数的极限提供了一种方法.实例表明利用托布利兹(T oep lite)定理的推广证明和计算某类函数的极限和某些数列的极限,比用传统的数学分析方法更简便.
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| 关 键 词： | 一致收敛 托布利兹定理 微分中值定理 |
| 修稿时间： | 2006-04-05 |
The Spread of Toeplite Theorem |
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| ZHAI Xiu-na,ZHANG Wen-zhi. The Spread of Toeplite Theorem[J]. Mathematics in Practice and Theory, 2006, 36(8): 374-378 |
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| Authors: | ZHAI Xiu-na ZHANG Wen-zhi |
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| Abstract: | It is very feasible and effective for computing the litmit of the series using Toeplite Theorm.This paper proposed a new algorithm for computing functoinal limit by extending Toeplite Theorm to functional cases.The given examples show that the presented method in this paper is more effective and simple than other methods. |
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| Keywords: | coherant convergence Toeplite theorm differential mean theorem |
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