Extensions of Bernstein's Lethargy Theorem
Functional Analysis
2018-03-28 v1
Abstract
In this paper, we examine the aptly-named "Lethargy Theorem" of Bernstein and survey its recent extensions. We show that one of these extensions shrinks the interval for best approximation by half while the other gives a surprising connection to the space of bounded linear operators between two Banach spaces.
Keywords
Cite
@article{arxiv.1803.09869,
title = {Extensions of Bernstein's Lethargy Theorem},
author = {Asuman Güven Aksoy},
journal= {arXiv preprint arXiv:1803.09869},
year = {2018}
}
Comments
17 pages