Subspace condition for Bernstein's lethargy theorem

DOI10.3906/mat-1606-118zbMath1424.41020arXiv1606.07977OpenAlexW2962963602MaRDI QIDQ4633350

Qidi Peng, Caleb Case, Monairah Alansari, Asuman Güven Aksoy

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07977

zbMATH Keywords

Banach spacesbest approximationBernstein's lethargy theorem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Rate of convergence, degree of approximation (41A25)

Cites Work

• Approximation schemes satisfying Shapiro's theorem
• Deviation of elements of a Banach space from a system of subspaces
• On the existence of an element with given deviations from an expanding system of subspaces
• Some negative theorems of approximation theory
• Bernstein's lethargy theorem in Fréchet spaces
• A Generalization of Tyuriemskih's Lethargy Theorem and Some Applications
• On Shapiro's lethargy theorem and some applications
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