Polynomials with positive coefficients: Uniqueness of best approximation

DOI10.1016/0021-9045(77)90005-3zbMath0377.41019OpenAlexW2012844479MaRDI QIDQ1246688

Eli Passow

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-9045(77)90005-3

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10)

Related Items (4)

Characterization theorem of generalized polynomial of best approximation having bounded coefficients ⋮ Choice of degree of Bernstein polynomial model ⋮ Strong uniqueness of generalized polynomial of best approximation having bounded coefficients ⋮ Efficient and robust density estimation using Bernstein type polynomials

Cites Work

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• Approximation by functions having restricted ranges. III
• Derivatives of polynomials with positive coefficients
• Uniform approximation by polynomials having bounded coefficients
• Approximation by polynomials with restricted ranges of their derivatives
• Uniform approximation by polynomials with positive coefficients
• The degree of approximation by polynomials with positive coefficients
• Monotone Approximation by Algebraic Polynomials
• A Unified Approach to Uniform Real Approximation by Polynomials with Linear Restrictions
• On Approximation by Polynomials Having Restricted Ranges

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