On discrepancy theorems with applications to approximation theory
Volume 31 / 1995
Banach Center Publications 31 (1995), 115-123
DOI: 10.4064/-31-1-115-123
Abstract
We give an overview on discrepancy theorems based on bounds of the logarithmic potential of signed measures. The results generalize well-known results of P. Erdős and P. Turán on the distribution of zeros of polynomials. Besides of new estimates for the zeros of orthogonal polynomials, we give further applications to approximation theory concerning the distribution of Fekete points, extreme points and zeros of polynomials of best uniform approximation.
