A new estimate on the rate of convergence of Durrmeyer--Bézier operators

DOI10.1155/2009/702680zbMath1178.41017OpenAlexW2016780515WikidataQ59248850 ScholiaQ59248850MaRDI QIDQ1035525

Yali Zhou, Pinghua Wang

Publication date: 3 November 2009

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

Full work available at URL: https://eudml.org/doc/117819

zbMATH Keywords

rate of convergenceDurrmeyer--Bézier operators

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (4)

Approximation degree of Durrmeyer-Bézier type operators ⋮ Approximation properties of Bezier-summation-integral type operators based on Polya-Bernstein functions ⋮ Bezier variant of the Bernstein-Durrmeyer type operators ⋮ Bézier-Bernstein-Durrmeyer type operators

Cites Work

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• On the rate of convergence of the Durrmeyer operator for functions of bounded variation
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation
• Rate of convergence for the modified Szász-Mirakyan operators on functions of bounded variation
• Rate of convergence of Baskakov-Bézier type operators for locally bounded functions.
• On the rate of convergence of the generalized Durrmeyer type operators for functions of bounded variation

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