The Density of Extreme Points in Complex Polynomial Approximation

DOI10.2307/2047552zbMath0663.41027OpenAlexW4229801225MaRDI QIDQ3812711

András Kroó, Edward B. Saff

Publication date: 1988

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047552

zbMATH Keywords

Dirichlet problemalgebraic polynomials

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Approximation by polynomials (41A10)

Related Items (12)

On the sequence of errors in best polynomial approximation ⋮ Behavior of Polynomials of Best Uniform Approximation ⋮ Sequences with equi-distributed extreme points in uniform polynomial approximation ⋮ The Density of Alternation Points in Rational Approximation ⋮ The distribution of extreme points in best complex polynomial approximation ⋮ On density of interpolation points, a Kadec-type theorem, and Saff's principle of contamination in \(L_ p\)-approximation ⋮ Distribution of alternation points in best rational approximations ⋮ On the distribution of alternation points in uniform polynomial approximation of entire functions ⋮ Interpolatory properties of best \(L_ 2\)-approximants ⋮ Polynomial approximation of piecewise analytic functions on quasi-smooth arcs ⋮ Behavior of best \(L_ p\) polynomial approximants on the unit interval and on the unit circle ⋮ On the asymptotic distribution of oscillation points in rational approximation

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