Direct and converse results for multivariate generalized Bernstein polynomials

DOI10.1016/J.CAM.2007.06.035zbMath1149.41008OpenAlexW2023124576MaRDI QIDQ935776

Ertan Ibikli, İbrahim Büyükyazici

Publication date: 8 August 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.06.035

zbMATH Keywords

rate of convergencemultivariate Bernstein polynomialsdirect theoreminverse theoremModulus of continuity

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Approximation by other special function classes (41A30) Inverse theorems in approximation theory (41A27)

Cites Work

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• Direct and inverse theorems for Bernstein polynomials in the space of Riemann integrable functions
• Some properties of two-dimensional Bernstein polynomials
• Inverse theorems for multidimensional Bernstein operators
• Generalized Bernstein-Chlodowsky polynomials
• Optimal approximation class for multivariate Bernstein operators
• \(q\)-Bernstein polynomials and Bézier curves
• Saturation of local approximation by linear positive operators of Bernstein type
• Saturation of positive operators
• Inverse Theorem for Best Polynomial Approximation in L p , 0 < p < 1
• Approximation by Bernstein Polynomials

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