| 阶梯函数逼近的思想方法和在逼近论中的重要应用 |
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| 引用本文： | 周颂平. 阶梯函数逼近的思想方法和在逼近论中的重要应用[J]. 宝鸡文理学院学报(自然科学版), 1997, 0(4) |
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| 作者姓名： | 周颂平 |
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| 作者单位： | 杭州大学数学系!杭州，310000 |
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| 摘 要： | 论述了阶梯函数逼近的思想方法，并将其应用到下述几个方面：（1）用阶梯函数逼近连续函数；（2）Weierstrass定理的初等证明；（3）用有理函数逼近有界变差函数；（4）Markov系统中的多项式逼近问题。
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| 关 键 词： | 阶梯函数 连续函数 Weierstrass定理 有理逼近 Markov系统 |
THE WAY OF APPROXIMATION WITH STAIRCASE FUNCTIONS AND THE APPLICATION IN APPROXIMATION THEORY |
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| Zhou Songping. THE WAY OF APPROXIMATION WITH STAIRCASE FUNCTIONS AND THE APPLICATION IN APPROXIMATION THEORY[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 1997, 0(4) |
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| Authors: | Zhou Songping |
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| Abstract: | Illustrates the way of Staircase function approximation and the application in follow four aspects(1) Approximation of continuous functions by staircase functions;(2) The elementary proof Weierstrass theorem;(3) Approximation of bounded Variation functions by rational functions;(4) The Problems of approximation in Markov sysem. |
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| Keywords: | Staircase functions Continuous functions Weierstrass theorem Rationalapproximation Markov system |
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