Bezier variant of the Bernstein-Durrmeyer type operators

DOI10.1007/s00025-016-0639-3zbMath1376.41016OpenAlexW2563454113MaRDI QIDQ1682573

Tuncer Acar, Trapti Neer, Purshottam N. Agrawal

Publication date: 30 November 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-016-0639-3

zbMATH Keywords

modulus of continuityfunctions of bounded variationK-functionalBezier operators

Mathematics Subject Classification ID

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

Related Items (10)

Approximation degree of Durrmeyer-Bézier type operators ⋮ Convergence properties of certain positive linear operators ⋮ Better degree of approximation by modified Bernstein-Durrmeyer type operators ⋮ Pointwise approximation by Bézier variant of an operator based on Laguerre polynomials ⋮ Bézier variant of Bernstein–Durrmeyer blending-type operators ⋮ Quantitative-Voronovskaya and Grüss-Voronovskaya type theorems for Szász-Durrmeyer type operators blended with multiple Appell polynomials ⋮ Convergence analysis of modified Bernstein-Kantorovich type operators ⋮ On the Bézier Variant of the Srivastava-Gupta Operators ⋮ Bézier-Bernstein-Durrmeyer type operators ⋮ Approximation by modified \(U^{\rho }_n\) operators

Cites Work

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• The new forms of Voronovskaya's theorem in weighted spaces
• Bernstein-type operators which preserve polynomials
• General King-type operators
• A new estimate on the rate of convergence of Durrmeyer--Bézier operators
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions
• Positive linear operators which preserve \(x^2\)
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions. II
• Approximation properties of Bezier-summation-integral type operators based on Polya-Bernstein functions
• Asymptotic formulas for generalized Szász-Mirakyan operators
• Approximation Properties of the Modified Stancu Operators

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