On zeros of polynomials orthogonal over a convex domain

V. V. Andrievskii; I. E. Pritsker; R. S. Varga

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On zeros of polynomials orthogonal over a convex domain

V. V. Andrievskii·I. E. Pritsker·R. S. Varga

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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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V. V. Andrievskii, I. E. Pritsker, R. S. Varga. 2000-03-27. On zeros of polynomials orthogonal over a convex domain. https://arxiv.org/abs/math/0003175

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