On zeros of polynomials orthogonal over a convex domain

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.

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Bibliographic Details
Published in:Constructive approximation 2001, Vol.17 (2), p.209-225
Main Authors: ANDRIEVSKII, V. V, PRITSKER, I. E, VARGA, R. S
Format: Article
Language:English
Subjects:
Approximations and expansions
Domains
Exact sciences and technology
Functions of a complex variable
Mathematical analysis
Mathematics
Polynomials
Sciences and techniques of general use
Special functions
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Description
Summary: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.
ISSN:0176-4276
1432-0940
DOI:10.1007/s003650010027