Approximation by Bézier type of Meyer-König and Zeller operators

DOI10.1016/J.CAMWA.2007.04.020zbMath1131.41004OpenAlexW2009605086MaRDI QIDQ2477359

Qiulan Qi, Shunsheng Guo, Hong-Biao Jiang

Publication date: 13 March 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.04.020

zbMATH Keywords

\(K\)-functionalBézier type operatorMeyer-König and Zeller operatorDitzian-Totik modulusapproximation equivalence theorem

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (3)

Bézier variant of the generalized Baskakov Kantorovich operators ⋮ Direct, inverse, and equivalence theorems for weighted Szász-Durrmeyer-Bézier operators in Orlicz spaces ⋮ Bézier-Bernstein-Durrmeyer type operators

Cites Work

• Unnamed Item
• Uniform approximation by Baskakov and Meyer-Koenig and Zeller operators
• Approximation by Meyer-Koenig and Zeller type operators
• A global approximation theorem for Meyer-König and Zeller operators
• Jackson theorems for Erdős weights in \(L_p\) \((0<p\leq \infty)\)
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions
• Direct estimate for Bernstein polynomials
• Rates of approximation of bounded variation functions by two generalized Meyer-König and Zeller type operators
• Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights
• The central approximation theorems for Baskakov-Bézier operators
• Pointwise estimate for linear combinations of Bernstein-Kantorovich operators

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