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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Andrievskii, V.V., Pritsker, I.E. & Varga, R.S. On zeros of polynomials orthogonal over a convex domain. Constr. Approx 17, 209–225 (2001). https://doi.org/10.1007/s003650010027
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DOI: https://doi.org/10.1007/s003650010027