A note on the fixed points of positive linear operators

DOI10.1016/J.JAT.2017.12.001zbMath1435.41006OpenAlexW2771340888MaRDI QIDQ1697438

Mircea Ivan, Ioan Gavrea

Publication date: 20 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jat.2017.12.001

zbMATH Keywords

fixed pointsBernstein operatorspositive linear operatorsKorovkin systems

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Approximation by polynomials (41A10) Positive linear operators and order-bounded operators (47B65)

Related Items (1)

Voronovskaya type results for special sequences of operators

Cites Work

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• Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces
• Convergence of positive linear operators on C(X)
• Korovkin-type approximation theory and its applications
• Positive linear operators which preserve \(x^2\)
• Bernstein type operators having 1 and \(x^j\) as fixed points
• Sur le multiplicateurs d'interpolation
• Bernsteinsche Potenzreihen
• Generalization of Bernstein's polynomials to the infinite interval
• Bernstein Power Series

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