Bernstein type asymptotic evaluations for linear positive operators on \(C\left[ \alpha ,\beta \right]\)

DOI10.1007/s00025-019-1101-0zbMath1426.41030OpenAlexW2973661815MaRDI QIDQ2275316

Dumitru Popa

Publication date: 2 October 2019

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

Full work available at URL: https://doi.org/10.1007/s00025-019-1101-0

zbMATH Keywords

Voronovskaja type theorempositive linear operatorsKorovkin approximation theoremasymptotic evaluations for univariate positive operatorsBernstein type asymptotic evaluation

Mathematics Subject Classification ID

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

Related Items (6)

An operator version of the Korovkin theorem ⋮ Voronovskaja type theorems for King type operators ⋮ An intermediate Korovkin-type asymptotic evaluation ⋮ Intermediate Voronovskaja type results for the Lototsky-Bernstein type operators ⋮ The Korovkin parabola envelopes method and Voronovskaja-type results ⋮ Voronovskaja type results and their applications

Cites Work

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• A generalization of Kantorovich operators for convex compact subsets
• The Bernstein Voronovskaja-type theorem for positive linear approximation operators
• Asymptotic evaluations for some sequences of positive linear operators
• Voronovskaja's theorem revisited

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