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| W_2~m空间中样条插值算子与线性泛函的最佳逼近 | |
| 引用本文： | 张新建. W_2~m空间中样条插值算子与线性泛函的最佳逼近[J]. 计算数学, 2002, 24(2): 129-136 |
| 作者姓名： | 张新建 |
| 作者单位： | 国防科技大学理学院数学系,长沙,410073 |
| 摘 要： | In this paper,the convergency of spline interpolation operators is obtained,these spline operators are determined by linear differential operators and constraint functionals.The errors of the interpolating spline with EHB fanctionals are estimated.The best approximation of linear functionals on W2^n spaces are investigated,which let to a useful computational method for the approximation solution of higher order linear differential equations with multipoint boundary value conditions. |
| 关 键 词： | 样条插值算子 线性泛函 最佳逼近 微分方程 近似解 误差估计 函数空间 |
| 修稿时间： | 1999-09-27 |
SPLINE INTERPOLATING OPERATORS AND THE BEST APPROXIMATION OF LINEAR FUNCTIONALS IN W_2~m SPACES |
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| Affiliation: | Zhang Xinjian (Dept. of Math., National University of Defense and Technology, Changsha, 410073) |
| Abstract: | In this paper, the convergency of spline interpolation operators is obtained, these spline operators are determined by linear differential operators and con straint functionals. The errors of the interpolating spline with EHB fanctionals are estimated. The best approximation of linear functionals on W2m spaces are investigated, which let to a useful computational method for the approximation so- lution of higher order linear differential equations with multipoint boundary value conditions. |
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