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

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Ukrainian Mathematical Journal Aims and scope

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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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    A. S. Romanyuk & V. S. Romanyuk

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  1. A. S. Romanyuk
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  2. V. S. Romanyuk
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Correspondence to A. S. Romanyuk.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 2, pp. 271–282, February, 2019.

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Romanyuk, A.S., Romanyuk, V.S. Approximating Characteristics of the Classes of Periodic Multivariate Functions in the Space B∞,1. Ukr Math J 71, 308–321 (2019). https://doi.org/10.1007/s11253-019-01646-3

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