The Newton Product of Polynomial Projectors. Part 2 : approximation properties
Complex Variables
2021-03-24 v1 Numerical Analysis
Numerical Analysis
Abstract
We prove that the Newton product of efficient polynomial projectors is still efficient. Various polynomial approximation theorems are established involving Newton product projectors on spaces of holomorphic functions on a neighborhood of a regular compact set, on spaces of entire functions of given growth and on spaces of differentiable functions. Efficient explicit new projectors are presented.
Keywords
Cite
@article{arxiv.2103.12510,
title = {The Newton Product of Polynomial Projectors. Part 2 : approximation properties},
author = {François Bertrand and Jean-Paul Calvi},
journal= {arXiv preprint arXiv:2103.12510},
year = {2021}
}