Voronovskaja-type theorem for modified Bernstein operators

DOI10.1016/j.jmaa.2020.124728zbMath1473.41006OpenAlexW3097711101MaRDI QIDQ1995877

Jim X. Xiang

Publication date: 25 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124728

zbMATH Keywords

uniformly minimum variance unbiased estimatorVoronovskaja theoremmodified Bernstein operators

Mathematics Subject Classification ID

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

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Uses Software

• R

Cites Work

• On the convergence of derivatives of Bernstein approximation
• The complete asymptotic expansion for Bernstein operators
• Bernstein-type operators which preserve polynomials
• Bernstein-type operators in Chebyshev spaces
• Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces
• Shape preserving approximation by Bernstein-type operators which fix polynomials
• Optimality of generalized Bernstein operators
• Positive linear operators which preserve \(x^2\)
• Generalized Bernstein operators on the classical polynomial spaces
• On sequences of J. P. King-type operators
• Bernstein type operators having 1 and \(x^j\) as fixed points
• Expansion of moments of Bernstein polynomials
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