Chebyshev approximation with respect to a weight function

DOI10.1016/0021-9045(69)90016-1zbMath0175.34903OpenAlexW2038993268MaRDI QIDQ2533242

Charles B. Dunham

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1016/0021-9045(69)90016-1

zbMATH Keywords

approximation and series expansion

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

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The remez algorithm for biased uniform approximation on an interval, Biased varisolvent Chebyshev approximation on subsets, Weighted Chebyshev approximation on a compact Hausdorff space, Remez algorithm for Chebyshev approximation with interpolation, Biased rational Chebyshev approximation, The one-sided Remez algorithm, An algorithm for discrete nonlinear biased approximation, A Unified Approach to Uniform Real Approximation by Polynomials with Linear Restrictions, Chebyshev approximation with respect to a vanishing weight function, Chebyshev approximation by \(A + B^*\Phi(CX)\), Nonexistence of best rational approximations on subsets, Alternating minimax approximation with unequal restraints, Alternating Chebyshev Approximation, Error measures and their associated means, Behavior of the Chebyshev operator of best approximation from a curve of functions, Efficiency of alternating Chebyshev approximation on finite subsets, Chebyshev approximation by exponential-polynomial sums, Partly alternating families, Approximation by alternating families on subsets, A generalization of the varisolvency and unisolvency properties, Nonexistence of best alternating approximations with isolated extrema, Rational Approximation with a Vanishing Weight Function and with a Fixed Value at Zero, Nonexistence of Best Alternating Approximations on Subsets, Chebyshev approximation by interpolating rationals

Cites Work

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• Nicht-lineare Approximationen
• Approximation by Generalized Rationals
• The Characterization of Best Nonlinear Tchebycheff Approximations
• Tchebycheff Approximations by Functions Unisolvent of Variable Degree
• Chebyshev Approximation Using a Generalized Weight Function
• Computational Aspects of Chebyshev Approximation Using a Generalized Weight Function
• Transformed rational Chebyshev approximation