On the equality of Kolmogorov and relative widths of classes of differentiable functions |
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| Authors: | Yu N Subbotin S A Telyakovskii |
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| Institution: | 1. Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, Moscow, Russia
2. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
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| Abstract: | We obtain sharper estimates of the remainders in the expression for the least value of the multiplier M for which the Kolmogorov widths d n (W C r , C) and the relative widths K n (W C r ,MW C j ,C) of the class W C r with respect to the class MW C j , j < r, where r ? j is odd, are equal. |
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