On the Lorentz degree of a product of polynomials

DOI10.1016/j.jat.2014.10.001zbMath1305.41005OpenAlexW2036775107MaRDI QIDQ476130

Rachid Ait-Haddou

Publication date: 28 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.jat.2014.10.001

zbMATH Keywords

Bézier curvesdegree elevationLorentz degreeBernstein basesPólya degreepolynomials with nonnegative coefficients

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (2)

Quantum Lorentz degrees of polynomials and a Pólya theorem for polynomials positive on \(q\)-lattices ⋮ Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials

Cites Work

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• On polynomials with positive coefficients
• Estimates for the Lorentz degree of polynomials
• Convergence of subdivision and degree elevation
• Convergence of Bézier triangular nets and a theorem of Pólya
• Polynomials with Nonnegative Coefficients
• George Lorentz and inequalities in approximation
• Polynomials that are positive on an interval
• A new bound for Pólya's theorem with applications to polynomials positive on polyhedra.

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