Extensions of Bernstein's Lethargy Theorem

2018/03/27 by Aksoy, Asuman Güven
#41A25 #41A50 #46B20 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1803.09869

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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