This article is cited in 1 paper

Extremal properties of discrete measures, the universal sequence, and the duality principle

M. L. Gerver^a, E. A. Kudryavtseva<sup>b

a</sup> International Institute of Earthquake Prediction Theory and Mathematical Geophysics RAS
^b M. V. Lomonosov Moscow State University

Abstract: A new proof of results on the universal sequence and extremal properties of discrete measures is given on the basis of the duality principle. These results were earlier obtained by the same authors in the solution of certain maximum problems arising in mathematical geophysics. The transition to the dual minimum problems reveals the geometric meaning of these results and opens the way to their generalization.

UDC: 517

MSC: Primary 44A99; Secondary 44A60, 86A22

Received: 16.09.1997

DOI: 10.4213/sm366

 English version: Sbornik: Mathematics, 1998, 189:11, 1587–1610

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