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ArticleOriginal scientific text

Title

On discrepancy theorems with applications to approximation theory

Authors 1

Affiliations

  1. Mathematisch-Geographische Fakultät, Katholische Universität Eichstätt, Ostenstr. 26-28, D-85071 Eichstätt, Germany

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.

Bibliography

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Banach Center Publications
1995/31/1
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Pages:
115-123
Main language of publication
English
Published
1995
Exact and natural sciences