Extremal properties of discrete measures, the universal sequence, and the duality principle
Mikhail L'vovich Gerver, Elena Alexandrovna Kudryavtseva · Sbornik Mathematics · 1998
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.