Entropy numbers and Marcinkiewicz-type discretization theorem

28 Jan 2020  ·  Dai F., Prymak A., Shadrin A., Temlyakov V., Tikhonov S. ·

This paper studies the behavior of the entropy numbers of classes of functions with bounded integral norms from a given finite dimensional linear subspace. Upper bounds of these entropy numbers in the uniform norm are obtained and applied to establish a Marcinkiewicz type discretization theorem for integral norms of functions from a given finite dimensional subspace...

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Classical Analysis and ODEs