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Sampling discretization of integral norms and its application

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Publication:2685178
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DOI10.1134/S0081543822050091MaRDI QIDQ2685178

Feng Dai, Vladimir N. Temlyakov

Publication date: 20 February 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.09030

zbMATH Keywords

entropy numbersrecoveryNikol'skii inequalitysampling discretization


Mathematics Subject Classification ID

Measures of information, entropy (94A17) Sampling theory in information and communication theory (94A20)


Related Items

Random sampling in reproducing kernel spaces with mixed norm, Some improved bounds in sampling discretization of integral norms



Cites Work

  • On Nikol'skii inequalities for domains in \({\mathbb {R}}^d\)
  • Sampling discretization of integral norms of the hyperbolic cross polynomials
  • The Marcinkiewicz-type discretization theorems
  • Entropy numbers and Marcinkiewicz-type discretization
  • On optimal recovery in \(L_2\)
  • Marcinkiewicz-type discretization of \(L^p\)-norms under the Nikolskii-type inequality assumption
  • Sampling discretization of integral norms
  • Sampling discretization and related problems
  • On sampling discretization in \(L_2\)
  • Greedy Approximation
  • Multivariate Approximation
  • Integral norm discretization and related problems
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