We obtain exact-order estimates for the Kolmogorov widths of the classes \( B_{{p,\theta}}^{\varOmega } \) of periodic functions of many variables in the space L q for 1 ≤ p, q ≤ ∞.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 10, pp. 1416–1425, October, 2012.
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Solich, K.V. Kolmogorov widths of the classes \( B_{{p,\theta}}^{\varOmega } \) of periodic functions of many variables in the space L q . Ukr Math J 64, 1610–1620 (2013). https://doi.org/10.1007/s11253-013-0738-1
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DOI: https://doi.org/10.1007/s11253-013-0738-1