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A Case Study in Multivariate Lagrange Interpolation

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Approximation Theory, Wavelets and Applications

Part of the book series: NATO Science Series ((ASIC,volume 454))

Abstract

In [5], we studied multivariate Lagrange interpolation using a Newton formula and derived a remainder formula for interpolation. Here we apply the approach from [5] to Lagrange interpolation based on the cardinal points on a standard simplex.

Supported by National Science Foundation, Grant No. 9302721 and the Alexander von Humboldt Foundation

Dedicated to Professor E. W. Cheney on the occasion of his 65th birthday

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References

  1. C. de Boor and A. Ron. Computational aspects of polynomial interpolation in several variables. Math. Comp., 58 (1992), 705–727.

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  5. Th. Sauer and Y. Xu. On multivariate Lagrange interpolation. Math. Comp., to appear.

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© 1995 Springer Science+Business Media Dordrecht

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Sauer, T., Xu, Y. (1995). A Case Study in Multivariate Lagrange Interpolation. In: Singh, S.P. (eds) Approximation Theory, Wavelets and Applications. NATO Science Series, vol 454. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8577-4_29

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  • DOI: https://doi.org/10.1007/978-94-015-8577-4_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4516-4

  • Online ISBN: 978-94-015-8577-4

  • eBook Packages: Springer Book Archive

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