THE HELLY PROBLEM AND BEST APPROXIMATION IN A SPACE OF CONTINUOUS FUNCTIONS

© 1967 American Mathematical Society
, , Citation A L Garkavi 1967 Math. USSR Izv. 1 623 DOI 10.1070/IM1967v001n03ABEH000573

0025-5726/1/3/623

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.

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10.1070/IM1967v001n03ABEH000573