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Error Estimates and Convergence Rates for Variational Hermite Interpolation

✍ Scribed by Zuhua Luo; Jeremy Levesley

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
273 KB
Volume
95
Category
Article
ISSN
0021-9045

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✦ Synopsis

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-CPD m function h, is just the h-spline Hermite interpolant. The results on error estimation and convergence rate of the h-spline interpolant generalise those of W.

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