Positive linear operators preserving certain monomials on \([0, \infty)\)

DOI10.14658/PUPJ-DRNA-2023-3-2zbMATH Open1540.41045MaRDI QIDQ6556692

Margareta Heilmann, Ulrich Abel, Ana Maria Acu, Ioan Raşa

Publication date: 17 June 2024

Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)

zbMATH Keywords

rate of convergenceasymptotic expansionspositive linear operatorsAldaz-Kounchev-Render operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Cites Work

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• Asymptotic formulae via a Korovkin-type result
• Bernstein-type operators which preserve polynomials
• Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces
• General King-type operators
• Korovkin-type approximation theory and its applications
• Positive linear operators which preserve \(x^2\)
• A proof of a conjecture about the asymptotic formula of a Bernstein type operator
• Bernstein type operators having 1 and \(x^j\) as fixed points
• A Quantitative Variant of Voronovskaja's Theorem for King-Type Operators

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