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2020/96/1-2 (10) — DOI: 10.5486/PMD.2020.8631 — pp. 131-139

Coefficient estimates on general compact sets

Authors: Vilmos Totik

Abstract:

This paper deals with best possible estimates for the coefficients of polynomials in terms of the supremum norm of the polynomials on a given compact subset $K$ of the plane. The results solve a problem of D. Dauvergne.

Keywords: polynomials, coefficients, estimates, supremum norm, general compact sets

Mathematics Subject Classification: 30C10