The lower estimate for the linear combinations of Bernstein-Kantorovich operators

DOI10.1016/j.jat.2009.12.005zbMath1200.41026OpenAlexW2050754894MaRDI QIDQ979033

Linsen Xie

Publication date: 25 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.jat.2009.12.005

zbMATH Keywords

error estimatesmodulus of smoothnesscombinationBernstein-Kantorovich operatorstrong type of Stechkin inequality

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items

The average errors for linear combinations of Bernstein–Kantorovich operators on the Wiener space ⋮ Pointwise estimate for linear combinations of Phillips operators

Cites Work

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• The \(L^p\)-saturation of the Bernstein-Kantorovitch polynomials
• The \(L_1\) saturation class of the Kantorovic operator
• Bernstein type inequalities associated with some differential operators
• On smoothness characterized by Bernstein type operators
• The \(L_p\)-saturation for linear combination of Bernstein-Kantorovich operators
• Linear Combinations of Bernstein Polynomials
• Pointwise estimate for linear combinations of Bernstein-Kantorovich operators