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Regular points for Lagrange interpolation on the unit disk

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Abstract

A set of points on the unit disk of the Euclidean plane is given, which admits unique Lagrange interpolation. The points have rotational symmetry and they form an example of natural lattices of Chung and Yao [2]. Properties of Lagrange interpolation with respect to these points are studied.

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References

  1. C. de Boor, A multivariate divided difference, in:Approximation Theory VIII, C.K. Chui and L.L. Schumaker, eds., World Scientific, 1995, to appear.

  2. K.C. Chung and T.H. Yao, On lattices admitting unique Lagrange interpolation, SIAM J. Numer Anal. 14 (1977) 735–743.

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  3. M. Gasca and J.I. Maeztu, On Lagrange and Hermite interpolation in ℝk, Numer. Math. 39 (1982) 1–14.

    Article  Google Scholar 

  4. C.A. Micchelli, A constructive approach to Kergin interpolation in ℝk: multivariate B-splines and Lagrange interpolation, Rocky Mountain J. Math. 10 (1979) 485–497.

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  5. Th. Sauer and Y. Xu, On multivariate Lagrange interpolation, Math. Comp. 64 (1995) 1147–1170.

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Communicated by M. Gasca

Work done when visiting the University of Oregon at Eugene, Oregon.

Supported by National Science Foundation under Grant No. 9302721.

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Sauer, T., Xu, Y. Regular points for Lagrange interpolation on the unit disk. Numer Algor 12, 287–296 (1996). https://doi.org/10.1007/BF02142808

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  • DOI: https://doi.org/10.1007/BF02142808

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