| δ函数Legendre非线性逼近的收敛性 |
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| 引用本文： | 潘云兰.δ函数Legendre非线性逼近的收敛性[J].浙江师范大学学报(自然科学版),2005,28(4):367-371. |
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| 作者姓名： | 潘云兰 |
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| 作者单位： | 浙江师范大学,数理学院,浙江,金华,321004 |
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| 基金项目： | 浙江省留学回国人员基金，浙江师范大学校科研和教改项目 |
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| 摘 要： | 讨论了利用Legendre多项式母函数的非线性逼近,证明了当这类非线性逼近应用于Diracδ函数时逼近是收敛的,且导出了逼近误差.
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| 关 键 词： | 非线性逼近 母函数方法 Diracδ函数 Legendre多项式 |
| 文章编号： | 1001-5050（2005）04-0367-05 |
| 收稿时间： | 2005-03-27 |
| 修稿时间： | 2005-09-12 |
Convergence of the Legendre nonlinear approximations to the Dirac function |
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| PAN Yun-lan.Convergence of the Legendre nonlinear approximations to the Dirac function[J].Journal of Zhejiang Normal University Natural Sciences,2005,28(4):367-371. |
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| Authors: | PAN Yun-lan |
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| Institution: | Collegeof Mathematics and Physics, Zhejiang Normal University, Jinhua Zhejiang 321004, China |
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| Abstract: | The nonlinear approximations based on the generating functions of the Legendre polynomials were studied. It was proved that such nonlinear approximations to the Dirac delta function on -1,1] were convergent. Moreover, the approximate errors was examined. |
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| Keywords: | nonlinear approximation generating function method Dirac delta function Legendre polynomial |
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