A family of univariate rational Bernstein operators

DOI10.1016/j.jat.2007.11.005zbMath1180.41010OpenAlexW2069845066MaRDI QIDQ1041617

Paula Piţul, Paul Sablonniere

Publication date: 3 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.jat.2007.11.005

zbMATH Keywords

rational approximantspositive operators

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Approximation by positive operators (41A36)

Related Items (6)

The Rate of Approximation by Rational Bernstein Functions in Terms of Second Order Moduli of Continuity ⋮ A family of bivariate rational Bernstein operators ⋮ Convergence of rational Bernstein operators ⋮ Bernstein-type operators on a triangle with all curved sides ⋮ Shape Preserving Hermite Interpolation by Rational Biquadratic Splines ⋮ Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials

Cites Work

• Optimal estimates with moduli of continuity
• Shape-Preserving Interpolation by Parametrically Defined Curves
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
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