| 联合插值限制的实值函数的L2逼近 |
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| 引用本文： | 苏生霞,何冠虎.联合插值限制的实值函数的L2逼近[J].山西师范大学学报,1998,12(1):16-19. |
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| 作者姓名： | 苏生霞 何冠虎 |
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| 摘 要： | 我们构造一个m次多项式p_(m,n),它是一个在给定的几个不同的结点上对已给实函数f∈L_(1.w)~2。进行联合插值,满足P_(m,n)（x_i）=f(x_(i)),P_(m,n)＇=f＇(x_(i)),i=1,...,n在L_2范数下,在f的所有同样性质的插值多项式中,它又是f的最佳逼近,并且得到当f∈ca,b],m→∞,‖p_(m,n)-f‖→0。
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| 关 键 词： | 插值 标准正交基 最小平方逼近 一致稠密 |
L_2- Approximation of Real-Valued Functions with Simultaneous Interpolatory Constraints |
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| Su Shengxia,He Guanhu.L_2- Approximation of Real-Valued Functions with Simultaneous Interpolatory Constraints[J].Journal of Shanxi Teachers University,1998,12(1):16-19. |
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| Authors: | Su Shengxia He Guanhu |
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| Institution: | 1. Department of Mathematics and Computer. Shanxi Teachers University2. Insitute of Metal Research. Chinese Academy of Sciences 3. International Center for Materials Physics. Chinese Academy of Sciences |
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| Abstract: | |
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| Keywords: | Interpolation Orthonormal basis Least squares approxmation Uni-formly dense |
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