This article is cited in 5 papers

The Helly problem and best approximation in a space of continuous functions

A. L. Garkavi


Abstract: 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.

UDC: 513.88

MSC: 46E15, 46E10, 46E27, 28C05

Received: 18.03.1966

 English version: Mathematics of the USSR-Izvestiya, 1967, 1:3, 623–637

Bibliographic databases:

• 
•