Geodesic
Some Generalizations of Carathéodory′s Theorem Via Barycentres, with Application to Mathematical Programming
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 339-346

Voir la notice de l'article provenant de la source Cambridge University Press

A theorem on the barycentre of a measure is proven which leads to generalization of Carathéodory′s theorem and to extension of various results. A mathematical programming problem is examined in application. 
Tijs, S. H.; Borwein, J. M. Some Generalizations of Carathéodory′s Theorem Via Barycentres, with Application to Mathematical Programming. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 339-346. doi: 10.4153/CMB-1980-048-x
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