On the stationary Lp-approximation power to derivatives by radial basis function interpolation |
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Authors: | Jungho Yoon |
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Affiliation: | Department of Mathematics and Institute for Mathematical Science Ewha W. University, DaeHyun-Dong, SeoDaeMoon-Gu, Seoul 120750, South Korea |
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Abstract: | In this paper, we consider approximation to derivatives of a function by using radial basis function interpolation. Most of well-known theories for this problem provide error analysis in terms of the so-called native space, say Cφ. However, if a basis function φ is smooth, the space Cφ is extremely small. Thus, the purpose of this study is to extend this result to functions in the homogenous Sobolev space. |
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Keywords: | Author Keywords: Radial basis function Interpolation Homogeneous Sobolev space Multiquadric ‘Shifted’ surface spline Approximation power |
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