Geodesic
On a~method for estimation from below of diameters of sets in Banach spaces
Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 139-146

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In this paper, a theorem is proved which generalizes a well-known theorem concerning diameters of spheres. The $n$-diameters of several classes of differentiable functions are calculated in the metric of $L_p$ with the help of this theorem. Bibliography: 9 titles. 
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     author = {Yu. I. Makovoz},
     title = {On a~method for estimation from below of diameters of sets in {Banach} spaces},
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Yu. I. Makovoz. On a~method for estimation from below of diameters of sets in Banach spaces. Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 139-146. http://geodesic.mathdoc.fr/item/SM_1972_16_1_a9/