On the rates of convergence of BBH-Kantorovich operators and their Bézier variant

DOI10.1016/J.AMC.2011.08.059zbMath1303.41011OpenAlexW1991528927MaRDI QIDQ425497

Harun Karsli, Paulina Pych-Taberska

Publication date: 8 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.059

zbMATH Keywords

rate of convergenceBBH-Kantorovich operatorBézier basisChanturiya's modulus of variation

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Cites Work

• On a Bernstein-type operator of Bleimann, Butzer and Hahn
• On the rate of pointwise convergence of Bernstein and Kantorovič polynomials
• Rate of convergence of a new type Kantorovich variant of Bleimann-Butzer-Hahn operators
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions
• Some properties of the Bézier-Kantorovich type operators
• Approximation by Bézier variants of the BBHK operators
• Approximation by a Kantorovich variant of the Bleimann, Butzer and Hahn operators
• On Kantorovich Process of a Sequence of the Generalized Linear Positive Operators
• Sur les oscillations d'ordre supérieur d'une fonction numérique
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