Extremal properties of discrete measures, the~universal sequence, and the~duality principle
Sbornik. Mathematics, Tome 189 (1998) no. 11, pp. 1587-1610
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{SM_1998_189_11_a0,
author = {M. L. Gerver and E. A. Kudryavtseva},
title = {Extremal properties of discrete measures, the~universal sequence, and the~duality principle},
journal = {Sbornik. Mathematics},
pages = {1587--1610},
publisher = {mathdoc},
volume = {189},
number = {11},
year = {1998},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1998_189_11_a0/}
}
TY - JOUR AU - M. L. Gerver AU - E. A. Kudryavtseva TI - Extremal properties of discrete measures, the~universal sequence, and the~duality principle JO - Sbornik. Mathematics PY - 1998 SP - 1587 EP - 1610 VL - 189 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1998_189_11_a0/ LA - en ID - SM_1998_189_11_a0 ER -
%0 Journal Article %A M. L. Gerver %A E. A. Kudryavtseva %T Extremal properties of discrete measures, the~universal sequence, and the~duality principle %J Sbornik. Mathematics %D 1998 %P 1587-1610 %V 189 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1998_189_11_a0/ %G en %F SM_1998_189_11_a0
M. L. Gerver; E. A. Kudryavtseva. Extremal properties of discrete measures, the~universal sequence, and the~duality principle. Sbornik. Mathematics, Tome 189 (1998) no. 11, pp. 1587-1610. http://geodesic.mathdoc.fr/item/SM_1998_189_11_a0/