Chebyshev approximation by \(\gamma\)-polynomials. III. On the number of best approximations

DOI10.1016/0021-9045(78)90002-3zbMath0399.41019OpenAlexW2016310312MaRDI QIDQ1254679

Dietrich Braess

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-9045(78)90002-3

zbMATH Keywords

Newton's MethodHaar Embedded ManifoldLocal Best ApproximationSigma PolynomialsUniqueness Theorem of Wulbert

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Approximation by other special function classes (41A30)

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Cites Work

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• On the unicity of nonlinear approximation in smooth spaces
• On the numer of best approximations in certain non-linear families of functions
• Tschebyscheff-Approximation durch \(\gamma\)-Polynome mit teilweise fixierten Frequenzen
• Characterization of best approximations by sums of exponentials
• Approximation mit Exponentialsummen
• Continuity theorems for the Čebyšev approximation with exponential sums
• Approximation from a curve of functions
• On the continuity of the nonlinear Tschebyscheff operator
• On the compactness of exponential sums
• Die Konstruktion der Tschebyscheff-Approximierenden bei der Anpassung mit Exponentialsummen
• Chebyshev-approximation by \(\gamma\)-polynomials. II
• Kritische Punkte bei der nichtlinearen Tschebyscheff-Approximation