About Nodal systems for Lagrange interpolation on the circle
Classical Analysis and ODEs
2017-05-22 v1
Abstract
We study the convergence of the Laurent polynomials of Lagrange interpolation on the unit circle for continuous functions satisfying a condition about their modulus of continuity. The novelty of the result is that now the nodal systems are more general than those constituted by the n roots of complex unimodular numbers and the class of functions is different from the usually studied. Moreover, some consequences for the Lagrange interpolation on [-1,1] and the Lagrange trigonometric interpolation are obtained.
Cite
@article{arxiv.1705.06802,
title = {About Nodal systems for Lagrange interpolation on the circle},
author = {E. Berriochoa and A. Cachafeiro and J. M. García Amor},
journal= {arXiv preprint arXiv:1705.06802},
year = {2017}
}