A proof of a conjecture about the asymptotic formula of a Bernstein type operator

DOI10.1007/s00025-016-0608-xzbMath1376.41022OpenAlexW2525904388WikidataQ123194661 ScholiaQ123194661MaRDI QIDQ1682553

Marius Mihai Birou

Publication date: 30 November 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-016-0608-x

zbMATH Keywords

asymptotic formulaconjecturepositive linear operatorsBernstein type operator

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (9)

King operators which preserve $x^j$ ⋮ Genuine Bernstein-Durrmeyer type operators preserving 1 and \(x^j\) ⋮ Voronovskaja formula for Aldaz-Kounchev-Render operators: uniform convergence ⋮ Aldaz-Kounchev-Render operators on simplices ⋮ Direct and converse theorems for King type operators ⋮ New multivariate and univariate Aldaz-Kounchev-Render type operators ⋮ VORONOVSKAYA TYPE RESULTS AND OPERATORS FIXING TWO FUNCTIONS ⋮ An intermediate Voronovskaja type theorem ⋮ Aldaz-Kounchev-Render operators and their approximation properties

Cites Work

• Asymptotic formulae via a Korovkin-type result
• Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces
• The powers and their Bernstein polynomials

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