Interpolatory properties of best \(L_ 2\)-approximants

DOI10.1016/0019-3577(90)90017-HzbMath0723.41022MaRDI QIDQ757770

Boris Shekhtman, Edward B. Saff

Publication date: 1990

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

best \(L_ 2\)-approximants

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05)

Related Items (3)

Distribution of interpolation points ⋮ On density of interpolation points, a Kadec-type theorem, and Saff's principle of contamination in \(L_ p\)-approximation ⋮ Distribution of interpolation points of best \(L_ 2\)-approximants (\(n\)th partial sums of Fourier series)

Cites Work

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• Behavior of best \(L_ p\) polynomial approximants on the unit interval and on the unit circle
• The distribution of extreme points in best complex polynomial approximation
• Interpolatory properties of best \(L_ 1\)-approximants
• Interpolatory properties of best rational \(L_ 1\)-approximations
• On the Zeros of Jacobi Polynomials P ( | alpha n , | beta n ) n (X)
• Distribution of Alternation Points in Uniform Polynomial Approximation
• Weighted Polynomial Approximation of Analytic Functions
• Strong and Weak Convergence of Orthogonal Polynomials
• The Density of Extreme Points in Complex Polynomial Approximation
• Orthogonal polynomials
• The Density of Alternation Points in Rational Approximation

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