Lebesgue Constants For Cantor Sets
Numerical Analysis
2021-11-05 v1 Numerical Analysis
Abstract
We evaluate the values of the Lebesgue constants in polynomial interpolation for three types of Cantor sets. In all cases, the sequences of Lebesgue constants are not bounded. This disproves the statement by Mergelyan.
Cite
@article{arxiv.2111.02631,
title = {Lebesgue Constants For Cantor Sets},
author = {Alexander Goncharov and Yaman Paksoy},
journal= {arXiv preprint arXiv:2111.02631},
year = {2021}
}