An operator version of the Korovkin theorem

DOI10.1016/j.jmaa.2022.126375OpenAlexW4281611965WikidataQ115188876 ScholiaQ115188876MaRDI QIDQ2154415

Dumitru Popa

Publication date: 19 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126375

zbMATH Keywords

Bernstein-type operatorslinear positive operatorsKorovkin approximation theorem

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (4)

An operator version of the Korovkin theorem revisited ⋮ Nonlinear operator extensions of Korovkin's theorems ⋮ Operator version of Korovkin theorem; degree of convergence and application to preconditioners ⋮ An operator version of the Korovkin theorem for continuous periodic functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Korovkin-type approximation theory and its applications
• Approximation properties of recursively defined Bernstein-type operators
• Approximation of the continuous functions on \(l_p\) spaces with \(p\) an even natural number
• A nonlinear extension of Korovkin's theorem
• Bernstein type asymptotic evaluations for linear positive operators on \(C\left[ \alpha ,\beta \right\)]
• Korovkin-type Theorems and Approximation by Positive Linear Operators

This page was built for publication: An operator version of the Korovkin theorem