Distribution of interpolation points of best \(L_ 2\)-approximants (\(n\)th partial sums of Fourier series)

DOI10.1007/BF01204651zbMath0780.41003MaRDI QIDQ690352

M. C. Fu

Publication date: 10 December 1993

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

zbMATH Keywords

lacunary trigonometric polynomials

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05)

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A discrepancy theorem concerning polynomials of best approximation in \(L^ p_ w [-1, 1\)]

Cites Work

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• Interpolatory properties of best \(L_ 2\)-approximants
• Interpolatory properties of best \(L_ 1\)-approximants
• On density of interpolation points, a Kadec-type theorem, and Saff's principle of contamination in \(L_ p\)-approximation
• On certain orthogonal polynomials, Nikolski- and Turán-type inequalities, and interpolatory properties of best approximants
• The perfect B-splines and a time-optimal control problem
• Remez-Type Inequalities on the Size of Generalized Polynomials