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arXiv · 1803.09869

Extensions of Bernstein's Lethargy Theorem

Asuman Güven Aksoy
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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.

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Asuman Güven Aksoy. 2018-03-27. Extensions of Bernstein's Lethargy Theorem. https://arxiv.org/abs/1803.09869

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