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• W2058706280 endingPage "1368" @default.
• W2058706280 startingPage "1349" @default.
• W2058706280 abstract "The accuracy of interpolation by a radial basis function $phi$ is usually very satisfactory provided that the approximant $f$ is reasonably smooth. However, for functions which have smoothness below a certain order associated with the basis function $phi$, no approximation power has yet been established. Hence, the purpose of this study is to discuss the $L_p$-approximation order ($1leq pleq infty$) of interpolation to functions in the Sobolev space $W^k_p(Omega )$ with $k> max (0,d/2-d/p)$. We are particularly interested in using the “shifted” surface spline, which actually includes the cases of the multiquadric and the surface spline. Moreover, we show that the accuracy of the interpolation method can be at least doubled when additional smoothness requirements and boundary conditions are met." @default.
• W2058706280 created "2016-06-24" @default.
• W2058706280 creator A5028101899 @default.
• W2058706280 date "2002-12-18" @default.
• W2058706280 modified "2023-10-16" @default.
• W2058706280 title "$L_p$-error estimates for ``shifted'' surface spline interpolation on Sobolev space" @default.
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• W2058706280 doi "https://doi.org/10.1090/s0025-5718-02-01498-9" @default.
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