| Hermite-Birkhoff插值多项式导数的最优误差界 |
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| 引用本文： | 叶在飞.Hermite-Birkhoff插值多项式导数的最优误差界[J].数学研究及应用,1988,8(1):119-123. |
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| 作者姓名： | 叶在飞 |
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| 作者单位： | 浙江大学 |
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| 摘 要： | §1 引 言 设m2是整数,记I_m={1,2,…,2m-2},A_m={2,4,…,2m-2},Γ_m={γ_1,γ_2,…,γ_(m 1)},γ_iΙ_m,γ_1<γ_2<…<γ_m 1。(以下假定指标列如上自小至大排列)。另记Γ′_m={γ′_1,…,γ′_(m 1)}=Ι_mΓ_m,Γ_m={2m-γ′_(m-1)-1,…,2m-γ′_1-1},Γ(s)={γ_i|γ_i<γ_s},类似地定义Γ(s)′Ι_s/Γ(s)以及Γ(s)等等。本文中假定
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| 收稿时间： | 1984/10/12 0:00:00 |
Optimal Error Bounds for Derivatives of Hermite-Birkhoff Interpolation Polynomials |
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| Ye Zai-fei.Optimal Error Bounds for Derivatives of Hermite-Birkhoff Interpolation Polynomials[J].Journal of Mathematical Research with Applications,1988,8(1):119-123. |
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| Authors: | Ye Zai-fei |
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| Institution: | Zhejiang University |
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| Abstract: | In this paper, we consider the Hermite-Birkhoff interpolation problem on the interval 0 , 1] .The optimal error bounds obtained by G.Birkhoff and A.Priver for cubic and quintic Hermite interpolation are extented to the most general Birk hoff interpolation case.Our results also contains that of A.K.Varma and G.Ho well, and are the improvements of the estimates of P.G.Ciarlet et al . |
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