Smooth equilibrium measures and approximation

DOI10.1016/j.aim.2006.11.001zbMath1123.41005OpenAlexW2078351416MaRDI QIDQ884432

Vilmos Totik, Péter Pál Varjú

Publication date: 6 June 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2006.11.001

zbMATH Keywords

approximationpolynomialshomogeneous polynomialsequilibrium measureslevel curvessmooth and doubling measures

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (max. 100)

Supports of weighted equilibrium measures and examples ⋮ Rate of approximation of regular convex bodies by convex algebraic level surfaces ⋮ Weighted approximation for weak convex external fields ⋮ On multivariate incomplete polynomials on starlike domains

Cites Work

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• The boundary correspondence under quasiconformal mappings
• Weighted energy problem on the unit circle
• Uniform and mean approximation by certain weighted polynomials, with applications
• Uniform approximation by incomplete polynomials
• Uniform convergence of polynomials associated with varying Jacobi weights
• Weighted polynomial approximation for weights with slowly varying extremal density
• Weighted polynomial approximation for weights with logarithmic singularities in the extremal measure
• Weighted approximation with varying weights: The case of a power-type singularity
• Weighted polynomial approximation for convex external fields
• Fast decreasing polynomials
• Approximation by weighted polynomials
• The role of the endpoint in weighted polynomial approximation with varying weights
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• A note on weighted polynomial approximation with varying weights
• A Weierstrass-type theorem for homogeneous polynomials

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