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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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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DOI: https://doi.org/10.1007/s11253-019-01646-3