Random sampling scattered data with multivariate Bernstein polynomials

DOI10.1007/S11401-014-0844-XzbMath1296.41029OpenAlexW2077648988MaRDI QIDQ741483

Sheng Xia, Feilong Cao

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-014-0844-x

zbMATH Keywords

Bernstein polynomialsapproximationscattered datarandom sampling

Mathematics Subject Classification ID

Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25)

Related Items (1)

Stochastic Bernstein polynomials: uniform convergence in probability with rates

Cites Work

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• \(K\)-functionals and multivariate Bernstein polynomials
• Inverse theorems for multidimensional Bernstein operators
• On three inequalities
• Optimal approximation class for multivariate Bernstein operators
• Approximation by multivariate Bernstein operators
• Weighted approximation by multidimensional Bernstein operators
• Derivatives of multidimensional Bernstein operators and smoothness
• The lower estimate for linear positive operators. I
• Sampling scattered data with Bernstein polynomials: stochastic and deterministic error estimates

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