On bounded variation functions by general MKZD operators

DOI10.1007/s10114-005-0776-1zbMath1186.41013OpenAlexW2099669176MaRDI QIDQ2385336

Yanyan Li

Publication date: 12 October 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0776-1

zbMATH Keywords

rates of convergenceBezier variant of Durrmeyer type Meyer-König-Zeller operatorspower series of integrals

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (3)

An estimate on the convergence of MKZ-Bézier operators ⋮ Quantitative estimates for a new complex Durrmeyer operator in compact disks ⋮ Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case \(\alpha < 1\)

Cites Work

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• The complete asymptotic expansionfor a general Durrmeyer variant of the Meyer-König and Zeller operators
• On the rate of convergence of the integrated Meyer-König and Zeller operators for functions of bounded variation
• Bounds for Bernstein basis functions and Meyer-König and Zeller basis functions
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions
• The approximation of continuous functions by positive linear operators
• Rates of approximation of bounded variation functions by two generalized Meyer-König and Zeller type operators
• On the rate of convergence of the generalized Durrmeyer type operators for functions of bounded variation
• Bernsteinsche Potenzreihen
• Bernstein Power Series

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