On weighted approximation with Jacobi weights
Classical Analysis and ODEs
2017-10-17 v1
Abstract
We obtain matching direct and inverse theorems for the degree of weighted -approximation by polynomials with the Jacobi weights . Combined, the estimates yield a constructive characterization of various smoothness classes of functions via the degree of their approximation by algebraic polynomials.
Cite
@article{arxiv.1710.05059,
title = {On weighted approximation with Jacobi weights},
author = {Kirill A. Kopotun and Dany Leviatan and Igor A. Shevchuk},
journal= {arXiv preprint arXiv:1710.05059},
year = {2017}
}
Comments
18 pages