Error estimates for spline interpolants on equidistant grids

Error estimates for spline interpolants on equidistant grids
复制标题

等距网格上样条插值的误差估计

DOI：
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发表时间：
1984
期刊：
影响因子：
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通讯作者：
M. Reimer
M. Reimer
中科院分区：
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文献类型：
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作者：
M. Reimer

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摘要对于oddm，估计了等距网格上功率增长的三次样条插值的误差。该方法基于样条函数的分解公式，该分解公式局部可以表示为由(m+1)阶差分项校正的次数为m的插值多项​​式。
SummaryFor oddm, the error of them-th-degree spline interpolant of power growth on an equidistant grid is estimated. The method is based on a decomposition formula for the spline function, which locally can be represented as an interpolation polynomial of degreem which is corrected by an (m+1)-st.-order difference term.