Geodesic
The Helly problem and best approximation in a space of continuous functions
Izvestiya. Mathematics, Tome 1 (1967) no. 3, pp. 623-637 
A. L. Garkavi. The Helly problem and best approximation in a space of continuous functions. Izvestiya. Mathematics, Tome 1 (1967) no. 3, pp. 623-637. http://geodesic.mathdoc.fr/item/IM2_1967_1_3_a5/
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     title = {The {Helly} problem and best approximation in a space of continuous functions},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Equivalence is verified between the Helly problem in the theory of moments and the problem of best approximation by elements of subspaces of finite defect. The existence and uniqueness conditions for the solution of these problems in a space of continuous functions are investigated.

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