On Lototsky-Bernstein operators and Lototsky-Bernstein bases

DOI10.1016/j.cagd.2018.12.004zbMath1505.41018OpenAlexW2903845728WikidataQ128770035 ScholiaQ128770035MaRDI QIDQ669016

Xiao-Wei Xu, Ronald N. Goldman

Publication date: 20 March 2019

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2018.12.004

zbMATH Keywords

generalized convexityshape preservingtotal positivityLototsky-Bernstein operators

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (3)

Shape preserving properties of univariate Lototsky-Bernstein operators ⋮ Approximation of Lebesgue integrable functions by Bernstein-Lototsky-Kantorovich operators ⋮ The Korovkin parabola envelopes method and Voronovskaja-type results

Cites Work

• Unnamed Item
• Unnamed Item
• Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces
• General King-type operators
• Convergence of rational Bernstein operators
• Shape preserving properties of univariate Lototsky-Bernstein operators
• Applications of the Shorgin identity to Bernstein type operators
• Generalized Bernstein operators on the classical polynomial spaces
• Approximation of analytic functions by Bernstein-type operators
• Stieltjes integral representation of convex functions
• A generalization of the Bernstein polynomials
• The Lototsky Transform and Bernstein Polynomials
• Convex functions and their applications. A contemporary approach

This page was built for publication: On Lototsky-Bernstein operators and Lototsky-Bernstein bases