Weighted approximation of functions with singularities by combinations of Bernstein operators

DOI10.1016/J.AMC.2008.10.021zbMath1183.41027OpenAlexW2125127304MaRDI QIDQ2378716

Dansheng Yu

Publication date: 14 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.021

zbMATH Keywords

weighted approximationsfunctions with singularitiescombination of Bernstein polynomials

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Related Items (2)

On the approximation by operators of Bernstein-Stancu types ⋮ Weighted approximation by Bernstein quasiinterpolants for functions with singularities

Cites Work

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• Weighted approximation of functions with endpoint or inner singularities by Bernstein operators
• The saturation class for linear combinations of Bernstein operators
• A global inverse theorem for combinations of Bernstein polynomials
• Pointwise approximation for linear combinations of Bernstein operators
• Pointwise weighted approximation by Bernstein operators
• On smoothness characterized by Bernstein type operators
• Approximation of functions with singularities by truncated Bernstein operators
• Pointwise simultaneous approximation by combinations of Bernstein operators
• Linear Combinations of Bernstein Polynomials

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