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Ukrainian Mathematical Journal

, Volume 71, Issue 2, pp 308–321 | Cite as

Approximating Characteristics of the Classes of Periodic Multivariate Functions in the Space B∞,1

  • A. S. RomanyukEmail author
  • V. S. Romanyuk
Article
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We obtain the exact-order estimates of the Kolmogorov widths and entropy numbers for the classes \( {\mathbbm{W}}_{p,\alpha}^r \) and \( {\mathbbm{B}}_{p,\theta}^r \) in the norm of the space B∞,1.

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Mathematics, Ukrainian National Academy of SciencesKyivUkraine

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