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.
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| Published in | Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 31; no. 1; pp. 21 - 23 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | Chinese |
| Published |
Zhejiang University Press
01.01.2004
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1008-9497 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | ZHOUSong-ping(周颂平) HEGuo-long(何国龙) CHENZhi-xiang(陈志祥) |
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| Snippet | 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. |
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| SubjectTerms | chebyshev结点 lagrange插值多项式 逼近度 |
| Title | Approximation to function |x| α by interpolation polynomials(插值多项式对函数|x|α的逼近) |
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