Erdős-Turán theorems on a system of Jordan curves and arcs

DOI10.1007/BF01888145zbMath0764.30003MaRDI QIDQ1173703

R. Grothmann, Hans-Peter Blatt

Publication date: 25 June 1992

Published in: Constructive Approximation (Search for Journal in Brave)

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Approximation by polynomials (41A10) Capacity and harmonic measure in the complex plane (30C85)

Related Items

Poles and alternation points in real rational Chebyshev approximation ⋮ Angular distribution of zeros of the partial sums of \(e^z\) via the solution of inverse logarithmic potential problem ⋮ The distribution of zeros of asymptotically extremal polynomials ⋮ Estimates for the discrepancy of a signed measure using its energy norm ⋮ On zeros of polynomials orthogonal over a convex domain ⋮ A local discrepancy theorem ⋮ Discrepancy theorems for the zero distribution of rational functions ⋮ Erdős-Turán type theorems on quasiconformal curves and arcs ⋮ A general discrepancy theorem

Cites Work

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• The distribution of extreme points in best complex polynomial approximation
• Extremal polynomials associated with a system of curves in the complex plane
• Estimates of mass distributions from their potentials and energies
• On the uniformly-dense distribution of certain sequences of points
• On the distribution of roots of polynomials
• On removable singularities of an analytic function of several complex variables
• Sequences of analytic functions and their zeros
• Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
• On the distribution of points of maximum deviation in the approximation of continuous functions by polynomials