The Upper Bound for the Lebesgue Constant for Lagrange Interpolation in Equally Spaced Points of the Triangle
Numerical Analysis
2022-09-22 v1 Numerical Analysis
Abstract
An upper bound for the Lebesgue constant (the supremum norm) of the operator of interpolation of a function in equally spaced points of a triangle by a polynomial of total degree less than or equal to n is obtained. Earlier, the rate of increase of the Lebesgue constants with respect to n for an arbitrary d-dimensional simplex was established by the author. The explicit upper bound proved in this article refines this result for d=2.
Keywords
Cite
@article{arxiv.2209.10142,
title = {The Upper Bound for the Lebesgue Constant for Lagrange Interpolation in Equally Spaced Points of the Triangle},
author = {N Baidakova},
journal= {arXiv preprint arXiv:2209.10142},
year = {2022}
}