Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case \(\alpha < 1\)

DOI10.2478/S11533-009-0031-6zbMath1181.41032OpenAlexW2059433782MaRDI QIDQ1040231

Xiao-Ming Zeng, Vijay Gupta

Publication date: 24 November 2009

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-009-0031-6

zbMATH Keywords

inequalitiesrate of convergenceLebesgue-Stieltjes integralpointwise approximation

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Approximation by other special function classes (41A30)

Cites Work

• On the rate of convergence of the Szász-Mirakyan operator for functions of bounded variation
• On the rate of convergence of the integrated Meyer-König and Zeller operators for functions of bounded variation
• Approximation by Meyer-Koenig and Zeller type operators
• A global approximation theorem for Meyer-König and Zeller operators
• Bounds for Bernstein basis functions and Meyer-König and Zeller basis functions
• An improved estimate of the rate of convergence of the integrated Meyer- König and Zeller operators for functions of bounded variation
• The complete asymptotic expansion for the Meyer-König and Zeller operators
• Some properties of the Bézier-Kantorovich type operators
• Rates of approximation of bounded variation functions by two generalized Meyer-König and Zeller type operators
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions. II
• Asymptotic expansion of multivariate conservative linear operators
• On bounded variation functions by general MKZD operators
• An estimate on the convergence of Baskakov-Bézier operators
• Bernsteinsche Potenzreihen
• Rate of convergence of a Kantorovich variant of the Meyer-König and Zeller operators
• Bernstein Power Series
• The moments for the Meyer-König and Zeller operators
• On the rates of approximation of Bernstein type operators.

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