Improving certain Bernstein-type approximation processes

DOI10.1016/J.MATCOM.2007.08.009zbMath1142.41302OpenAlexW1965840503MaRDI QIDQ2479453

Daniel Cárdenas-Morales, Francisco-Javier Muñoz-Delgado

Publication date: 26 March 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2007.08.009

zbMATH Keywords

error of approximationbivariate Bernstein polynomialsshape preserving properties

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (2)

Bivariate Bernstein polynomials that reproduce exponential functions ⋮ The rate of convergence for linear shape-preserving algorithms

Cites Work

• Unnamed Item
• Shape preserving approximation by Bernstein-type operators which fix polynomials
• Inverse theorems for multidimensional Bernstein operators
• Multivariate Bernstein polynomials and convexity
• On the property of monotonic convergence for multivariate Bernstein-type operators
• Positive linear operators which preserve \(x^2\)
• Quantitative results for positive linear approximation operators

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