On the approximation of convex functions by Bernstein-type operators

DOI10.1016/j.jmaa.2007.01.032zbMath1117.41009OpenAlexW2014821665MaRDI QIDQ996894

Javier Cárcamo, Jesús De La Cal

Publication date: 19 July 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.032

zbMATH Keywords

approximation by positive linear operatorsBernstein operatorsconvex orderDurrmeyer type operatorsKantorovic type operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (3)

PRESERVATION OF LOG-CONCAVITY AND LOG-CONVEXITY UNDER OPERATORS ⋮ On the preservation of log convexity and log concavity under some classical Bernstein-type operators ⋮ Log-concavity for Bernstein-type operators using stochastic orders

Cites Work

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• Best constants for tensor products of Bernstein type operators
• An extremal property of Bernstein operators
• Beta-type operators preserve shape properties
• A general Ostrowski-type inequality
• On uniform approximation by some classical Bernstein-type operators.
• Bernstein-Durrmeyer operators
• On the property of monotonic convergence for Beta operators
• On Stancu-Mühlbach operators and some connected problems concerning probability distributions
• On an extremal relation of Bernstein operators
• Some probabilistic methods in the theory of approximation operators
• Approximation of Functions by a Bernstein-Type Operator

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