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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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[6] Yu. I. Makovoz, Teoremy o nailuchshem priblizhenii i poperechnikakh mnozhestv v banakhovykh prostranstvakh, Kand. dissertatsiya, Minsk, 1969

[7] V. M. Tikhomirov, Nekotorye voprosy teorii priblizhenii, Dokt. dissertatsiya, Moskva, 1970

[8] E. Schmidt, “Uber die Ungleichung, welche die Integrale iiber eine Potenz einer Funktion und uber andere Potenz ihrer Ableitung verbindet”, Math. Ann., 117 (1940), 301–326 | DOI | MR

[9] L. V. Taikov, “O priblizhenii periodicheskikh funktsii v srednem”, DAN SSSR, 163:2 (1965), 301–302 | MR | Zbl