APPROXIMATION BY POISED SETS OF NODES

Authors

  • G.S. Avagyan Chair of Numerical Analysis and Mathematical Modeling, YSU, Armenia
  • L.R. Rafaelyan Chair of Numerical Analysis and Mathematical Modeling, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2012.46.1.060

Keywords:

Lagrange interpolation, independent points, poised sets

Abstract

In the present paper it has been shown that nodes of any finite set $X\subset\mathbb{R}^d$ can be made independent by arbitrarily small perturbation, in other words, the set $X$ can be approximated by sets of independent nodes. In the case of #$X =\dim\Pi_n^d$ the set $X$ can be approximated by sets of poised nodes.

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Published

2012-03-06

How to Cite

Avagyan, G., & Rafaelyan, L. (2012). APPROXIMATION BY POISED SETS OF NODES. Proceedings of the YSU A: Physical and Mathematical Sciences, 46(1 (227), 60–62. https://doi.org/10.46991/PYSU:A/2012.46.1.060

Issue

Section

Short Communications