| A Quasi-Interpolation Satisfying Quadratic Polynomial Reproduction with Radial Basis Functions |
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| 作者姓名： | Li Zha Renzhong Feng~* |
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| 作者单位： | Department of Mathematics，Beijing University of Aeronautics and Astronautics，Beijing 100083，China Key Laboratory of Mathematics，Informatics and Behavioral Semantics，Ministry of Education |
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| 摘 要： | In this paper,a new quasi-interpolation with radial basis functions which satis- fies quadratic polynomial reproduction is constructed on the infinite set of equally spaced data.A new basis function is constructed by making convolution integral with a constructed spline and a given radial basis function.In particular,for twicely differ- entiable function the proposed method provides better approximation and also takes care of derivatives approximation.
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| 关 键 词： | 二次方程 多项式 等距处理 数据处理 |
A Quasi-Interpolation Satisfying Quadratic Polynomial Reproduction with Radial Basis Functions |
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| Li Zha Renzhong Feng*.A Quasi-Interpolation Satisfying Quadratic Polynomial Reproduction with Radial Basis Functions[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(4):348-357. |
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| Authors: | Li Zha Renzhong Feng |
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| Institution: | Department of Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083,China Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education |
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| Abstract: | In this paper,a new quasi-interpolation with radial basis functions which satis- fies quadratic polynomial reproduction is constructed on the infinite set of equally spaced data.A new basis function is constructed by making convolution integral with a constructed spline and a given radial basis function.In particular,for twicely differ- entiable function the proposed method provides better approximation and also takes care of derivatives approximation. |
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| Keywords: | Radial basis functions quasi-interpolation equally spaced data spline |
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