| Alternate document: Details Error Estimates for Hermite Interpolation on Spheres: A Variational Approach (97) Z. Luo, J. Levesley |
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Abstract: This paper considers the variational problem of Hermite interpolation
and its error bounds. The optimal Hermite interpolant, which
minimises the semi--norm of the reproducing kernel Hilbert space C h
determined by given r-CPDm function h, is just the h-spline Hermite
interpolant. The results on error estimation and convergence rate of
the h-spline interpolant generalise those in [11, 12, 18, 10] to the case
of Hermite interpolation.
1 Introduction
The classic variational approach of... (Update)
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BibTeX entry: (Update)
Z. Luo and J. Levesley, Error estimates and convergence rates for variational Hermite interpolation, Research Report 1997/6, Department of Mathematics and Computer Science, University of Leicester, Leicester LE1 7RH, UK. http://citeseer.ist.psu.edu/luo97error.html More
@misc{ luo97error,
author = "Z. Luo and J. Levesley",
title = "Error estimates and convergence rates for variational Hermite interpolation",
text = "Z. Luo and J. Levesley, Error estimates and convergence rates for variational
Hermite interpolation, Research Report 1997/6, Department of Mathematics
and Computer Science, University of Leicester, Leicester LE1 7RH, UK.",
year = "1997",
url = "citeseer.ist.psu.edu/luo97error.html" }
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Distributions and Fouriertransforms (context) - Donoghue - 1969
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Scattered Hermite interpolation using radial basis functions (context) - Sun - 1994
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Splines minimising rotation-invariant semi-norms in the Sobo.. (context) - Duchon - 1977
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Error estimates for approximation by radial basis functions
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Error estimates and convergence rates for variational Hermit..
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Variational Spline Theory (context) - Yu, Vasilenko - 1993
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