Shape preserving properties of univariate Lototsky-Bernstein operators

DOI10.1016/j.jat.2017.09.002zbMath1376.41010OpenAlexW2754042113MaRDI QIDQ1674020

Xiao-Wei Xu, Xiao-Ming Zeng, Ronald N. Goldman

Publication date: 1 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jat.2017.09.002

zbMATH Keywords

fixed pointtotal positivityshape preservationiteratesLototsky-Bernstein operators

Mathematics Subject Classification ID

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

Related Items (8)

A note on the remainder in the approximation of functions by some positive linear operators ⋮ Approximation of Lebesgue integrable functions by Bernstein-Lototsky-Kantorovich operators ⋮ On Lototsky-Bernstein operators and Lototsky-Bernstein bases ⋮ A generalization of an inequality related to a conjecture involving convex functions ⋮ Applications of the Shorgin identity to Bernstein type operators ⋮ Intermediate Voronovskaja type results for the Lototsky-Bernstein type operators ⋮ The Korovkin parabola envelopes method and Voronovskaja-type results ⋮ On sequences of J. P. King-type operators

Cites Work

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• A note on approximation by Bernstein polynomials

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