Behavior of best \(L_ p\) polynomial approximants on the unit interval and on the unit circle

DOI10.1016/0021-9045(90)90101-UzbMath0728.41024OpenAlexW1977469487MaRDI QIDQ804860

N. E. Zubov

Publication date: 1990

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90101-u

zbMATH Keywords

algebraic polynomialsbest uniform approximant

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Finely holomorphic functions and topological function theory (30G12)

Related Items

On density of interpolation points, a Kadec-type theorem, and Saff's principle of contamination in \(L_ p\)-approximation ⋮ On characterization theorems for measures associated with orthogonal systems of rational functions on the unit circle ⋮ Asymptotics of the \(L^2\) norm of derivatives of OPUC ⋮ Local behaviour of the error in the Bergman kernel method for numerical conformal mapping ⋮ On Nevai's characterization of measures with almost everywhere positive derivative ⋮ Interpolatory properties of best \(L_ 2\)-approximants ⋮ Necessary conditions for mean convergence of Lagrange interpolation on an arbitrary system of nodes

Cites Work

• Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle
• The distribution of zeros of asymptotically extremal polynomials
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
• Weighted Polynomial Approximation of Analytic Functions
• Strong and Weak Convergence of Orthogonal Polynomials
• The Density of Extreme Points in Complex Polynomial Approximation
• Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
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