On the error of best polynomial approximation of composite functions
Numerical Analysis
2023-08-14 v1 Numerical Analysis
Abstract
The purpose of the paper is to provide a characterization of the error of the best polynomial approximation of composite functions in weighted spaces. Such a characterization is essential for the convergence analysis of numerical methods applied to non-linear problems or for numerical approaches that make use of regularization techniques to cure low smoothness of the solution. This result is obtained through an estimate of the derivatives of composite functions in weighted uniform norm.
Keywords
Cite
@article{arxiv.2308.06043,
title = {On the error of best polynomial approximation of composite functions},
author = {Luisa Fermo and Concetta Laurita and Maria Grazia Russo},
journal= {arXiv preprint arXiv:2308.06043},
year = {2023}
}