Sharpening of the estimates for relative widths of classes of differentiable functions
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We improve the earlier obtained upper estimates for the least value of the coefficient M for which the Kolmogorov widths dn(WCr, C) of the function class WCr are equal to the relative widths Kn(WCr, MWCj, C) of the class WCr with respect to the class MWCj, j < r.
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