Derivatives of multidimensional Bernstein operators and smoothness

DOI10.1016/j.jat.2004.12.006zbMath1073.41019OpenAlexW1977192284MaRDI QIDQ1775006

Feilong Cao

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.jat.2004.12.006

zbMATH Keywords

derivatives of multidimensional Bernstein polynomials on the simplex

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Approximation by positive operators (41A36)

Related Items (4)

Inequalities for a class of multivariate operators ⋮ Derivatives of multivariate Bernstein operators and smoothness with Jacobi weights ⋮ \(K\)-functionals and multivariate Bernstein polynomials ⋮ Random sampling scattered data with multivariate Bernstein polynomials

Cites Work

• Unnamed Item
• Bernstein-type operators and their derivatives
• Inverse theorems for multidimensional Bernstein operators
• A global inverse theorem for combinations of Bernstein polynomials
• \(K\)-moduli, moduli of smoothness, and Bernstein polynomials on a simplex
• Optimal approximation class for multivariate Bernstein operators
• Direct estimate for Bernstein polynomials
• On smoothness characterized by Bernstein type operators
• Polynomial approximation in \(L_ p(S)\) for \(p>0\)
• Derivatives of Bernstein Polynomials and Smoothness
• Approximation of Functions by Polynomials in C[-L, 1]
• Simultaneous Polynomial Approximation

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