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Error Estimates and Convergence Rates for Variational Hermite Interpolation (1997)  (Make Corrections)  (2 citations)
Zuhua Luo, Jeremy 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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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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23   Optimal approximations and error bounds (context) - Golomb, Weinberger - 1959
15   The uniform convergence of thin plate spline interpolation i.. - Powell - 1993
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10   Generalized Hermite interpolation via matrix-valued conditio.. (context) - Narcowich, Ward - 1995
10   Distributions and Fouriertransforms (context) - Donoghue - 1969
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6   Splines minimising rotation-invariant semi-norms in the Sobo.. (context) - Duchon - 1977
5   Error estimates for approximation by radial basis functions - Light, Wayne - 1994
2   Error estimates and convergence rates for variational Hermit.. - Luo, Levesley - 1997
2   Variational Spline Theory (context) - Yu, Vasilenko - 1993

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