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The Marcinkiewicz-type discretization theorems

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 نشر من قبل Vladimir Temlyakov
 تاريخ النشر 2017
  مجال البحث
والبحث باللغة English
 تأليف V.N. Temlyakov




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The paper is devoted to discretization of integral norms of functions from a given finite dimensional subspace. This problem is very important in applications but there is no systematic study of it. We present here a new technique, which works well for discretization of the integral norm. It is a combination of probabilistic technique, based on chaining, with results on the entropy numbers in the uniform norm.



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