A family of bivariate rational Bernstein operators

DOI10.1016/j.amc.2015.02.010zbMath1338.41008OpenAlexW2037844068MaRDI QIDQ300168

Chun-Gang Zhu, Bao-Yu Xia

Publication date: 23 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.010

zbMATH Keywords

rational approximantsBernstein operatorsreproduction of polynomials

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

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• The Bernstein polynomial basis: a centennial retrospective
• Bernstein operators for extended Chebyshev systems
• A family of univariate rational Bernstein operators
• Convergence of rational Bernstein operators
• New bounds on the magnitude of the derivative of rational Bézier curves and surfaces

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