Convergence rate for weighted polynomial approximation on the real line
Classical Analysis and ODEs
2022-11-28 v1
Abstract
In this note we study a quantitative version of Bernstein's approximation problem when the polynomials are dense in weighted spaces on the real line completing a result of S.~N.~Mergelyan (1960). We estimate in the logarithmic scale the error of the weighted polynomial approximation of the Cauchy kernel.
Keywords
Cite
@article{arxiv.2012.03858,
title = {Convergence rate for weighted polynomial approximation on the real line},
author = {Anna Kononova},
journal= {arXiv preprint arXiv:2012.03858},
year = {2022}
}
Comments
16 pages