On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions. II

DOI10.1006/jath.2000.3451zbMath0963.41011OpenAlexW4234779141MaRDI QIDQ1577924

Xiao-Ming Zeng

Publication date: 4 January 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3451

zbMATH Keywords

Bernstein-Kantorovich-Bézier type operatorsBernstein-Bézier type operators

Mathematics Subject Classification ID

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

Related Items (16)

Approximation degree of Durrmeyer-Bézier type operators ⋮ Approximation properties of Bezier-summation-integral type operators based on Polya-Bernstein functions ⋮ Bézier variant of the Szász-Durrmeyer type operators based on the Poisson-Charlier polynomials ⋮ Bézier variant of Bernstein–Durrmeyer blending-type operators ⋮ Bezier variant of the Bernstein-Durrmeyer type operators ⋮ Bézier type Kantorovich \(q\)-Baskakov operators via wavelets and some approximation properties ⋮ Some properties of the Bézier-Kantorovich type operators ⋮ On wavelet type generalized Bézier operators ⋮ On the Bézier Variant of the Srivastava-Gupta Operators ⋮ The Bézier variant of Lupas Kantorovich operators based on Polya distribution ⋮ Approximation by Bézier variant of the Baskakov-Kantorovich operators in the case \(0<\alpha <1\) ⋮ On the rates of convergence of Bernstein–Chlodovsky polynomials and their Bézier-type variants ⋮ Direct, inverse, and equivalence theorems for weighted Szász-Durrmeyer-Bézier operators in Orlicz spaces ⋮ Bézier-Bernstein-Durrmeyer type operators ⋮ Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case \(\alpha < 1\) ⋮ An estimate on the convergence of Baskakov-Bézier operators

Cites Work

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• On the rate of convergence of the Szász-Mirakyan operator for functions of bounded variation
• On the rate of convergence of Bernstein polynomials of functions of bounded variation
• On the rate of convergence of Fourier-Legendre series of functions of bounded variation
• Rate of convergence of Bernstein polynomials for functions with derivatives 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
• On the rate of convergence of some operators on functions of bounded variation

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