| 再生核空间H[O,a]“非汉字符号”H[0,b]的最佳插值逼近算子 |
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| 引用本文： | 马晓剑,邓中兴,邓彩霞.再生核空间H[O,a]“非汉字符号”H[0,b]的最佳插值逼近算子[J].哈尔滨师范大学自然科学学报,2002(5). |
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| 作者姓名： | 马晓剑 邓中兴 邓彩霞 |
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| 作者单位： | 哈尔滨理工大学
(马晓剑，邓中兴)，哈尔滨工程大学(邓彩霞) |
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| 基金项目： | 黑龙江省自然科学基金项目(A01—12)，黑龙江省教育厅科学技术资助项目(10511098) |
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| 摘 要： | 本文构造了张量积空间H0,a](?)H0,6],并证明其是再生核空间.在这一空间讨论了二元最佳插值逼近算子,给出了其显式表达式,并证明它对任意加密的矩形网格节点系是一致收敛的,且误差单调下降.
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| 关 键 词： | 再生核 张量积 插值逼近 |
THE BEST OPERATOR OF INTERPOLATION IN THE REPRODUCING KERNEL SPACE |
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| Ma Xiaojian Deng Zhongxing Deng Caixia.THE BEST OPERATOR OF INTERPOLATION IN THE REPRODUCING KERNEL SPACE[J].Natural Science Journal of Harbin Normal University,2002(5). |
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| Authors: | Ma Xiaojian Deng Zhongxing Deng Caixia |
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| Institution: | Ma Xiaojian Deng Zhongxing Deng Caixia(Harbin University of Scince and Technology) (Harbin Engineering University) |
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| Abstract: | A tensor product space H0,a](?)H0,6] is constructed, which has reproducing kernel. The authors show the explicit representation of the best interpolation operator for the bivariate real functions, which is not in polynomial form. Furthermore, prove that the representation is convergent uniformly and the error of interpolation decreases monotonically when rectangular grid knots are thickened infinitely. |
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| Keywords: | Reproducing kernel Tensor product Interpolating approximation |
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