Upper estimates of Christoffel function on convex domains
Classical Analysis and ODEs
2017-07-26 v2
Abstract
New upper bounds on the pointwise behaviour of Christoffel function on convex domains in are obtained. These estimates are established by explicitly constructing the corresponding "needle"-like algebraic polynomials having small integral norm on the domain, and are stated in terms of few easy-to-measure geometric characteristics of the location of the point of interest in the domain. Sharpness of the results is shown and examples of applications are given.
Cite
@article{arxiv.1704.03025,
title = {Upper estimates of Christoffel function on convex domains},
author = {A. Prymak},
journal= {arXiv preprint arXiv:1704.03025},
year = {2017}
}