Operator version of Korovkin theorem; degree of convergence and application to preconditioners

DOI10.1016/j.jmaa.2023.127087OpenAlexW4319312097WikidataQ122751113 ScholiaQ122751113MaRDI QIDQ2697706

V. B. Kiran Kumar, P. C. Vinaya

Publication date: 13 April 2023

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

Full work available at URL: https://arxiv.org/abs/2207.03154

zbMATH Keywords

preconditionersBernstein-type operatorsKorovkin approximation theorem

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Special classes of linear operators (47Bxx) Approximations and expansions (41Axx)

Cites Work

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• The degree of convergence of positive linear operators
• A Korovkin-type theory for finite Toeplitz operators via matrix algebras
• A Korovkin-type theory for non-self-adjoint Toeplitz operators
• A short survey on preconditioners and Korovkin-type theorems
• An operator version of the Korovkin theorem
• Preconditioners and Korovkin-type theorems for infinite-dimensional bounded linear operators via completely positive maps
• A Proposal for Toeplitz Matrix Calculations
• An Optimal Circulant Preconditioner for Toeplitz Systems
• Toeplitz Preconditioners for Toeplitz Systems with Nonnegative Generating Functions
• Korovkin-type Theorems and Approximation by Positive Linear Operators
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS

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