Inequalities for a class of multivariate operators

DOI10.1186/1029-242X-2012-175zbMath1279.41029WikidataQ59289867 ScholiaQ59289867MaRDI QIDQ386699

Jianwei Zhao

Publication date: 10 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

characterization of approximationdirect and inverse inequalitiesgeneralized Bernstein operators

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Cites Work

• \(K\)-functionals and multivariate Bernstein polynomials
• Inverse theorems for multidimensional Bernstein operators
• Steckin-Marchaud-type inequalities in connection with Bernstein polynomials
• \(K\)-moduli, moduli of smoothness, and Bernstein polynomials on a simplex
• A generalization of the Bernstein polynomials
• Derivatives of multidimensional Bernstein operators and smoothness

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