On zeros of polynomials orthogonal over a convex domain
Complex Variables
2013-07-23 v1 Classical Analysis and ODEs
Abstract
We establish a discrepancy theorem for signed measures, with a given positive part, which are supported on an arbitrary convex curve. As a main application, we obtain a result concerning the distribution of zeros of polynomials orthogonal on a convex domain.
Cite
@article{arxiv.math/0003175,
title = {On zeros of polynomials orthogonal over a convex domain},
author = {V. V. Andrievskii and I. E. Pritsker and R. S. Varga},
journal= {arXiv preprint arXiv:math/0003175},
year = {2013}
}
Comments
24 pages; to appear in Constr. Approx