Extensions of Bernstein's Lethargy Theorem
classification
🧮 math.FA
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extensionsbernsteinlethargytheoremapproximationaptly-namedbanachbest
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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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