Shape preserving approximation by Bernstein-type operators which fix polynomials

DOI10.1016/j.amc.2006.05.046zbMath1136.65018OpenAlexW2081368158MaRDI QIDQ858830

Francisco-Javier Muñoz-Delgado, Daniel Cárdenas-Morales, Pedro Garrancho

Publication date: 11 January 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.046

zbMATH Keywords

convergenceBernstein polynomialsshape preserving propertiesconvexity with respect to a function

Mathematics Subject Classification ID

Approximation with constraints (41A29) Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15)

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Cites Work

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• Positive linear operators which preserve \(x^2\)
• Linear approximation and generalized convexity
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
• THE CHARACTERIZATION OF GENERALIZED CONVEX FUNCTIONS