| 多项式序列一致逼近连续函数的两个结论 |
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| 引用本文： | 王白银.多项式序列一致逼近连续函数的两个结论[J].贵州师范大学学报(自然科学版),2010,28(2):73-74. |
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| 作者姓名： | 王白银 |
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| 作者单位： | 西安通信学院,基础部,陕西,西安,710106 |
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| 摘 要： | 对用多项式序列一致逼近有界区间的连续函数进行了讨论并得到两个结果:1.这种逼近可以进行的充分必要条件为函数是一致连续的;2.多项式序列的阶数的极限为正无穷.
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| 关 键 词： | 多项式序列 一致连续 一致逼近 |
Two conclusions about uniform convergence of continuous function with polynomial sequence |
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| WANG Bai-yin.Two conclusions about uniform convergence of continuous function with polynomial sequence[J].Journal of Guizhou Normal University(Natural Sciences),2010,28(2):73-74. |
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| Authors: | WANG Bai-yin |
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| Abstract: | This paper discusses the uniform approximation of continuous function on bounded intervals with polynomial sequence and gets two conclusions in the following:(1)The approximation exists if and only if the function is uniform continuous;(2)The limit of order of polynomial sequence is positive infinity. |
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| Keywords: | polynomial sequence uniform continuous uniform approximation |
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