Regular points for Lagrange interpolation on the unit disk
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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 . Properties of Lagrange interpolation with respect to these points are studied.
KeywordsLagrange interpolation two variables unit disk
Subject classificationAMS(MOS) Primary: 41A05, 65D10
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- C. de Boor, A multivariate divided difference, in:Approximation Theory VIII, C.K. Chui and L.L. Schumaker, eds., World Scientific, 1995, to appear.Google Scholar
- 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.Google Scholar
- Th. Sauer and Y. Xu, On multivariate Lagrange interpolation, Math. Comp. 64 (1995) 1147–1170.Google Scholar