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 |
Hermite-Birkhoff插值多项式导数的最优误差界 |
Optimal Error Bounds for Derivatives of Hermite-Birkhoff Interpolation Polynomials |
投稿时间:1984-10-12 |
DOI:10.3770/j.issn:1000-341X.1988.01.024 |
中文关键词: |
英文关键词: |
基金项目: |
|
摘要点击次数: 2101 |
全文下载次数: 962 |
中文摘要: |
|
英文摘要: |
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 . |
查看全文 查看/发表评论 下载PDF阅读器 |