A Generalization of Tyuriemskih's Lethargy Theorem and Some Applications

DOI10.1080/01630563.2012.761636zbMath1279.41023OpenAlexW2028867866MaRDI QIDQ2854334

Frank Deutsch, Hein S. Hundal

Publication date: 18 October 2013

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2012.761636

zbMATH Keywords

approximation by positive operatorsHermite-Fejér operatorsJackson operatorsLandau operatorsarbitrarily slow convergence of linear operatorsBernstein operators, Fejér operatorslethargy theorem

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (2)

Bernstein's lethargy theorem in Fréchet spaces ⋮ Subspace condition for Bernstein's lethargy theorem

Cites Work

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• Approximation schemes satisfying Shapiro's theorem
• Slow convergence of sequences of linear operators. I: Almost arbitrarily slow convergence
• Slow convergence of sequences of linear operators. II: Arbitrarily slow convergence
• The approximation of continuous functions by positive linear operators
• On the existence of an element with given deviations from an expanding system of subspaces
• Some negative theorems of approximation theory

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