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Kolmogorov widths and entropy numbers in the Orlicz spaces with Luxembourg norm

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Publication:1729637
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DOI10.1007/s11253-017-1396-5zbMath1499.41092OpenAlexW2732505315MaRDI QIDQ1729637

V. S. Romanyuk

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1396-5

zbMATH Keywords

entropy numbersKolmogorov widthsexact-order estimates


Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)


Related Items

Approximating characteristics of the classes of periodic multivariate functions in the space \(B_{ \infty , 1} \), Estimation of some approximating characteristics of the classes of periodic functions of one and many variables



Cites Work

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  • Low regularity classes and entropy numbers
  • Multiple Haar basis and its properties
  • Estimation of the entropy numbers and Kolmogorov widths for the Nikol'skii-Besov classes of periodic functions of many variables
  • Kolmogorov widths for analogs of the Nikol'skii-Besov classes with logarithmic smoothness
  • Entropy numbers and widths for the classes \(B_{p,\theta}^r\) of periodic functions of many variables
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