| 线性泛函的广义Sard逼近 |
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| 引用本文： | 姜至本,王成伟.线性泛函的广义Sard逼近[J].东华大学学报(自然科学版),1995(3). |
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| 作者姓名： | 姜至本 王成伟 |
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| 作者单位： | 中国纺织大学基础部工程数学教研室 |
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| 摘 要： | 本文利用具有重结点的自然样条函数,讨论了线性泛函Ff=sum from i=0 to n-1integral from a to b a_i(x)D~i f(x)dx+sum from j=0 to L~1 b_(ij)D~i f(x_(ij))]的广义Sard逼近问题。文中给出了线性泛函Lf=sum from i=0 to k sum from j=0 to k_1-1 a_(ij)D~j f(x_i)逼近F为n-1阶准确的存在定理与唯一性定理;给出了L做为F的广义Sard逼近的充分必要条件。
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| 关 键 词： | 线性泛函 自然样条函数 广义Sard逼近 Peano定理 Peano核 |
EXTENDED SARD APPROXIMATION OF LINEAR FUNCTIONAL |
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| Jiang Zhiben,Wang Chengwei.EXTENDED SARD APPROXIMATION OF LINEAR FUNCTIONAL[J].Journal of Donghua University,1995(3). |
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| Authors: | Jiang Zhiben Wang Chengwei |
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| Institution: | Basic Sciences Department |
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| Abstract: | Using natural spline functions with multiple knots, we discuss the extended Sard approximation of Linear functional.In this paper, we define a linear functionalgive existense theorem and uniqueness theorems of L that is exact for the degree n-1 to F. We also give the sufficient and necessary conditions in which L is the extended Sard approximation of F. |
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| Keywords: | linear functional natural spline function extended Sard approximation Peano theorem Peano kernel |
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