Geodesic
On the Equality of Kolmogorov and Relative Widths of Classes of Differentiable Functions
Matematičeskie zametki, Tome 86 (2009) no. 3, pp. 456-465

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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 $MW_C^j$, $j$, where $r-j$ is odd, are equal.
Keywords: Kolmogorov width, relative width of a class, differentiable function, $2\pi$-periodic function, Banach space
Mots-clés : Favard constant. 
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     author = {Yu. N. Subbotin and S. A. Telyakovskii},
     title = {On the {Equality} of {Kolmogorov} and {Relative} {Widths} of {Classes} of {Differentiable} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
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Yu. N. Subbotin; S. A. Telyakovskii. On the Equality of Kolmogorov and Relative Widths of Classes of Differentiable Functions. Matematičeskie zametki, Tome 86 (2009) no. 3, pp. 456-465. http://geodesic.mathdoc.fr/item/MZM_2009_86_3_a14/