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托布利兹(Toeplite)定理的推广
The Spread of Toeplite Theorem
【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.
【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.
【关键词】 一致收敛;
托布利兹定理;
微分中值定理;
【Key words】 coherant convergence; Toeplite theorm; differential mean theorem;
【Key words】 coherant convergence; Toeplite theorm; differential mean theorem;
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2006年08期
- 【分类号】O172
- 【被引频次】1
- 【下载频次】136