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Approximation by multivariate Bernstein operators

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Publication:1320084
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DOI10.1007/BF03323150zbMath0790.41018MaRDI QIDQ1320084

Xin-Long Zhou

Publication date: 19 April 1994

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

multivariate Bernstein operators


Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Approximation by positive operators (41A36) Inverse theorems in approximation theory (41A27)


Related Items (3)

Inequalities for trigonometric polynomials and some integral means ⋮ \(K\)-functionals and multivariate Bernstein polynomials ⋮ Random sampling scattered data with multivariate Bernstein polynomials




Cites Work

  • Unnamed Item
  • Inverse theorems for multidimensional Bernstein operators
  • \(K\)-moduli, moduli of smoothness, and Bernstein polynomials on a simplex
  • Optimal approximation class for multivariate Bernstein operators
  • Approximation by Bernstein Polynomials
  • Strong converse inequalities




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