Abstract
The embedding constants for the Sobolev spaces W2n[0;1]→W∞k[0; 1], 0 ≤ k ≤ n - 1 are considered. The properties of the functions An,k(x) arising in the inequalities |f(k)(x)|≤An,k (x)││f||W2n[0;1], are studied. The extremum points of An;k are calculated for k = 3, 5 and all admissible n. The global maximum of these functions is found, and the exact embedding constants are calculated.
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