Abstract
We establish lower bounds for the Kolmogorov widths d 2n-1(W r H ω1 .L p ) and Gel’fand widths d 2n-1(W r H ω1 .L p ) of the classes of functions W r H ω1 with a convex integral modulus of continuity ω(t).
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Derets, E.V. On lower bounds for the widths of classes of functions defined by integral moduli of continuity. Ukr Math J 52, 368–378 (2000). https://doi.org/10.1007/BF02513131
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DOI: https://doi.org/10.1007/BF02513131