Geodesic
On theorems of R. Rado and of D. Watson
Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 4, pp. 36-42 Cet article a éte moissonné depuis la source Math-Net.Ru

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Theorems of R. Rado and of D. Watson are generalizations for theorems P. Kirchberger and C. Caratheodory. In the paper we will consider some generalizations and refinements for these theorems. 
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V. L. Dol'nikov. On theorems of R. Rado and of D. Watson. Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 4, pp. 36-42. http://geodesic.mathdoc.fr/item/MAIS_2007_14_4_a6/

[1] C. Carathéodory, “Über den Variabilitätsbereich der Koeffizienten von Potenzreihen, die gegebene Werte nicht annehmen”, Math. Ann., 64 (1907), 193–217 | DOI | MR

[2] P. Kirchberger, “Über Tschebyschefsche Annäherugsmethoden”, Math. Ann., 57 (1903), 509–540 | DOI | MR | Zbl

[3] R. Rado, “Theorems on the intersection of convex sets of points”, J. London. Math. Soc., 27 (1952), 320–328 | DOI | MR | Zbl

[4] L. Dantser, B. Gryunbaum, V. Kli, Teorema Khelli i ee primeneniya, Mir, M., 1968 | MR

[5] D. Watson, “Refinement of theorems of Kirchberger and Carathéodory”, J. Austr. Math. Soc., 15 (1973), 190–192 | DOI | MR | Zbl

[6] V. L. Dolnikov, “O peresechenii konicheskikh i vypuklykh obolochek”, Issl. po teor. funk. mnogikh vesch. per., Yaroslavl, 1988, 33–37

[7] V. M. Alekseev, V. M. Tikhomirov, S. V. Fomin, Optimalnoe upravlenie, Nauka, M., 1979 | MR

[8] V. L. Dolnikov, “Obobschennye transversali i obobschennaya vypuklost”, Vopr. teor. grupp i gom. alg., Yaroslavl, 1998, 15–36

[9] S. R. Lay, “On separation by spherical surfaces”, Amer. Math. Monthly, 78 (1971), 1112–1113 | DOI | MR | Zbl