Uniform reciprocal approximation subject to linear constraints

DOI10.1016/0021-9045(84)90097-2zbMath0538.41045OpenAlexW2000067485MaRDI QIDQ793260

G. D. (Jerry) Taylor, Bruce L. Chalmers, Edwin H. jun. Kaufman, David J. Leeming

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90097-2

zbMATH Keywords

uniquenesscharacterizationExistencelinear constraintsconstrained linear approximationuniform reciprocal approximation

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation with constraints (41A29)

Related Items (1)

A unified theory of strong uniqueness in uniform approximation with constraints

Cites Work

• A unified theory of strong uniqueness in uniform approximation with constraints
• Uniform approximation with constraints
• A combined Remes-differential correction algorithm for rational approximation: Experimental results
• Uniform approximation by rational functions having restricted denominators
• Best monotone approximation by reciprocals of polynomials
• Approximation with reciprocals of polynomials on compact sets
• Existence of best uniform approximations by reciprocals
• Uniform rational weighted approximations having restricted ranges
• Two new algorithms for rational approximation
• Uniform rational approximation by differential correction and remes‐differential correlation
• Uniform rational approximation of functions of several variables
• The Remez Exchange Algorithm for Approximation With Linear Restrictions
• A Combined Remes-Differential Correction Algorithm for Rational Approximation
• The Differential Correction Algorithm for Rational $\ell _\infty $-Approximation
• A Unified Approach to Uniform Real Approximation by Polynomials with Linear Restrictions

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