On simultaneous approximation of the Bernstein Durrmeyer operators

DOI10.1016/J.AMC.2009.02.052zbMath1175.41018OpenAlexW2058573618MaRDI QIDQ1030222

Antonio-Jesús López-Moreno, Vijay Gupta, José-Manuel Latorre-Palacios

Publication date: 1 July 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.02.052

zbMATH Keywords

Bernstein polynomialsDurrmeyer operatorsBézier variant

Mathematics Subject Classification ID

Simultaneous approximation (41A28)

Related Items (7)

Strong converse inequality for left Bernstein-Durrmeyer quasi-interpolants ⋮ Pointwise approximation for a type of Bernstein-Durrmeyer operators ⋮ Convergence analysis of modified Bernstein-Kantorovich type operators ⋮ Approximation by Durrmeyer Type Operators Preserving Linear Functions ⋮ Quintic Hermite Fractal Interpolation in a Strip: Preserving Copositivity ⋮ Approximation with certain exponential operators ⋮ Upper Bounds for Bernstein Basis Functions

Cites Work

• Unnamed Item
• A certain family of summation-integral type operators
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Bounds for Bernstein basis functions and Meyer-König and Zeller basis functions
• On the rate of convergence of the generalized Durrmeyer type operators for functions of bounded variation
• On the rates of approximation of Bernstein type operators.

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