Chebyshev-type Quadratures for Doubling Weights
Classical Analysis and ODEs
2017-06-20 v2 Numerical Analysis
Abstract
A Chebyshev-type quadrature for a given weight function is a quadrature formula with equal weights. In this work we show that a method presented by Kane may be used to produce tight bounds for the minimal number of nodes required in Chebyshev-type quadratures for doubling weight functions. This extends a long line of research on Chebyshev-type quadratures starting with the 1937 work of Bernstein.
Cite
@article{arxiv.1507.01505,
title = {Chebyshev-type Quadratures for Doubling Weights},
author = {Shoni Gilboa and Ron Peled},
journal= {arXiv preprint arXiv:1507.01505},
year = {2017}
}
Comments
22 pages. Expanded discussion section. Removed appendix on the Mastroianni-Totik theorem