Abstract
We obtain an order estimate for the Kolmogorov width of the Besov classes \(B_{p,{\theta }}^r\) of periodic functions of many variables in the space L q for 2 < p < q < ∞, which complements the result obtained earlier by the author.
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Romanyuk, A.S. On Estimates of the Kolmogorov Widths of the Classes \(B_{p,q}^r\) in the Space Lq . Ukrainian Mathematical Journal 53, 1189–1196 (2001). https://doi.org/10.1023/A:1013389518117
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DOI: https://doi.org/10.1023/A:1013389518117