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On the Continuity of Multivariate Lagrange Interpolation at Chung-Yao Lattices

Numerical Analysis 2019-02-20 v1

Abstract

We give a natural geometric condition that ensures that sequences of Chung-Yao interpolation polynomials (of fixed degree) of sufficiently differentiable functions converge to a Taylor polynomial.

Keywords

Cite

@article{arxiv.1112.2869,
  title  = {On the Continuity of Multivariate Lagrange Interpolation at Chung-Yao Lattices},
  author = {Jean-Paul Calvi and Phung Van Manh},
  journal= {arXiv preprint arXiv:1112.2869},
  year   = {2019}
}