Note on the best approximation in $L^1$ metric
Numerical Analysis
2016-07-19 v1
Abstract
We present one of the approaches to find the best approximation of the given function by trigonometric polynomials in metric and applied it to find the optimal constants in the Nikolsky's type inequality, concerning approximation of Lipschitz functions by algebraic polynomials.
Cite
@article{arxiv.1607.05246,
title = {Note on the best approximation in $L^1$ metric},
author = {Alexey Solyanik},
journal= {arXiv preprint arXiv:1607.05246},
year = {2016}
}