On the continuity of multivariate Lagrange interpolation at natural lattices-Reference-Cited by-同舟云学术

On the continuity of multivariate Lagrange interpolation at natural lattices

Published:2013 Issue: Volume:16 Page:45-60
ISSN:1461-1570
Container-title:LMS Journal of Computation and Mathematics
language:en
Short-container-title:LMS J. Comput. Math.

Author:

Calvi J.-P.,Phung V. M.

Abstract

AbstractWe give a natural geometric condition that ensures that sequences of interpolation polynomials (of fixed degree) of sufficiently differentiable functions with respect to the natural lattices introduced by Chung and Yao converge to a Taylor polynomial.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

Reference11 articles.

1. On the Limits of Lagrange Projectors

2. On the pointwise limits of bivariate lagrange projectors

3. A continuity property of multivariate Lagrange interpolation

4. On Lattices Admitting Unique Lagrange Interpolations

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