Convergence rate for weighted polynomial approximation on the real line
arXiv:2012.03858 · doi:10.1016/j.jat.2021.105642
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.
arXiv comment16 pages