On zeros of polynomials orthogonal over a convex domain |
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| Authors: | V. V. Andrievskii I. E. Pritsker R. S. Varga |
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| Affiliation: | (1) Mathematisch-Geographische Fakultaet, Katholische Universitaet Eichstaett, D-85071 Eichstaett, Germany;(2) Institute for Computational Mathematics Department of Mathematics and Computer Science, Kent State University, 44242 Kent, OH, USA;(3) Department of Mathematics, Case Western Reserve University, 10900 Euclid Avenue, 44106-7058 Cleveland, OH, USA |
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| 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. |
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| Keywords: | AMS classification 30C10 30C15 30C85 41A10 41A50 |
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