| 函数带权的最佳逼近多项式的存在唯一性定理 |
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| 引用本文： | 王宽福.函数带权的最佳逼近多项式的存在唯一性定理[J].科学技术与工程,2009,9(5). |
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| 作者姓名： | 王宽福 |
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| 作者单位： | 东莞理工学院城市学院,东莞,523106 |
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| 摘 要： | 研究函数带权的最佳逼近多项式的性质及误差估计,给出了函数带权的最佳逼近多项式存在的条件及唯一性定理;另外对最佳逼近多项式的特性研究给出了其下界的误差估计.
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| 关 键 词： | 最佳逼近多项式 权函数 偏离点 |
Existence and Uniqueness Theorem for Best Approximation Polynomials of the Weighted Functions |
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| WANG Kuan-fu.Existence and Uniqueness Theorem for Best Approximation Polynomials of the Weighted Functions[J].Science Technology and Engineering,2009,9(5). |
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| Authors: | WANG Kuan-fu |
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| Institution: | City College of Dongguan University of Technology;Dongguan 523106;P.R.China |
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| Abstract: | The properties and error estimate for best approximation polynomials of the weighted functions are studied. It gives the existence and uniqueness theorem for best approximation polynomials of the weighted functions,and gives uniqueness theorem for best approximation polynomials's lower bound. |
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| Keywords: | weighted functions best approximation polynomials deviation points |
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