• On zeros of polynomials orthog...

Result: On zeros of polynomials orthogonal over a convex domain

Title:
On zeros of polynomials orthogonal over a convex domain
Authors:
Vladimir V. Andrievskii, Igor E. Pritsker, Richard S. Varga
Source:
Constructive Approximation. 17:209-225
Publication Status:
Preprint
Publisher Information:
Springer Science and Business Media LLC, 2001.
Publication Year:
2001
Subject Terms:
logarithmic potential, zeros of polynomials, Mathematics - Complex Variables, Faber polynomials, Capacity and harmonic measure in the complex plane, 01 natural sciences, Best approximation, Chebyshev systems, 30C10, 30C15, 30C85, 41A10, Approximation by polynomials, Mathematics - Classical Analysis and ODEs, Polynomials and rational functions of one complex variable, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, equilibrium measure, orthogonal polynomials
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1432-0940
0176-4276
DOI:
10.1007/s003650010027
DOI:
10.48550/arxiv.math/0003175
Access URL:
http://arxiv.org/pdf/math/0003175v1.pdf
http://arxiv.org/abs/math/0003175
http://math.okstate.edu/people/igor/99a.pdf
https://math.okstate.edu/people/igor/99a.pdf
https://link.springer.com/article/10.1007/s003650010027
https://link.springer.com/content/pdf/10.1007/s003650010027.pdf
Rights:
Springer TDM
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....a858ab3d393e08608049045095e4ffdf
Database:
OpenAIRE

Further Information

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.
24 pages; to appear in Constr. Approx