Approximation to function |x| α by interpolation polynomials(插值多项式对函数|x|α的逼近)
研究插值多项式对|x|α达到最佳逼近度的一种构造方法,证明了当n=2m,m∈N,α∈(0,1]时,其中, R2m(x)是以x0=0,为插值结点的对|x|α的Lagrange插值多项式,从而推广了M. Revers的结论.
| Main Authors: | , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Zhejiang University Press
2004-01-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2004.31.1.21-23 |