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Multivariate interpolation

  • Approximation And Interpolation Theory
  • Conference paper
  • First Online:
Rational Approximation and Interpolation

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1105))

Abstract

We consider interpolation of multivariate functions by algebraic polynomials in ℝS, s ≥ 2. Since our methods and results do not depend on dimension s ≥ 2, we restrict ourselves to bivariate interpolation, s=2. Using methods of Birkhoff interpolation from.

Supported in part by NSF Grant MCS8303353.

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Author information

Authors and Affiliations

  1. Department of Mathematics, The University of Texas, 78712, Austin, Texas

    G. G. Lorentz

  2. GMD Schloss Birlinghoven, 5205, St. Augustin 1, Germany

    R. A. Lorentz

Authors
  1. G. G. Lorentz
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  2. R. A. Lorentz
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Editor information

Peter Russell Graves-Morris Edward B. Saff Richard S. Varga

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© 1984 Springer-Verlag

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Lorentz, G.G., Lorentz, R.A. (1984). Multivariate interpolation. In: Graves-Morris, P.R., Saff, E.B., Varga, R.S. (eds) Rational Approximation and Interpolation. Lecture Notes in Mathematics, vol 1105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072406

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  • DOI: https://doi.org/10.1007/BFb0072406

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13899-0

  • Online ISBN: 978-3-540-39113-5

  • eBook Packages: Springer Book Archive

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