On convergence of derivatives of Voronovskaja-type expansion for Bernstein type operators

DOI10.1016/j.jat.2021.105668zbMath1490.41004OpenAlexW3210121949MaRDI QIDQ2054281

Jim X. Xiang

Publication date: 1 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.jat.2021.105668

zbMATH Keywords

asymptotic formulaVoronovskaja-type theoremBernstein type operatormoments expansion

Mathematics Subject Classification ID

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

Related Items (1)

On the approximation of linear operators which improve the rate of convergence

Uses Software

• R

Cites Work

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• An answer to a conjecture on Bernstein operators
• Estimates for the moments of Bernstein polynomials
• On the convergence of derivatives of Bernstein approximation
• The complete asymptotic expansion for Bernstein operators
• Recent advances in constructive approximation theory
• Expansion of moments of Bernstein polynomials
• On the Convergence of Moments in the Central Limit Theorem

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