On the rate of convergence of discretely defined operators

DOI10.1016/j.jmaa.2015.06.062zbMath1321.41037OpenAlexW826329282MaRDI QIDQ495192

Mircea Ivan, Ioan Gavrea

Publication date: 9 September 2015

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.2015.06.062

zbMATH Keywords

rate of convergenceBernstein operatorscentral momentspositive linear operators

Mathematics Subject Classification ID

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

Related Items (1)

Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem

Cites Work

• An answer to a conjecture on Bernstein operators
• The complete asymptotic expansion for Bernstein operators
• On Jessen's inequality for convex functions
• Aczél-Chebyshev type inequality for positive linear functions
• Closed form summation for classical distributions: variations on a theme of de Moivre
• The Bernstein Voronovskaja-type theorem for positive linear approximation operators
• On the rate of approximation of functions by the Bernstein polynomials
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