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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2002 Issue 2, Pages 150–153 (Mi uzeru560)

Communications
Mathematics

On one representation of classes of distribution functions

G. A. Baghdasarova

Yerevan State University

Abstract: Let $\unicode{xA3}$ be a closed convex class of distribution functions on $[0,+8),~D_n\,\unicode{xA3},~ n\geq 1,$ be a set of convex linear combinations of no more than $n$ extremal points of the $\unicode{xA3}$ class. in the present paper a representation of the $\unicode{xA3}$ class is obtained in terms of the sets.

Keywords: Closed convex class, set of convex linear combinations.

UDC: 517.5

Received: 17.12.2001
Accepted: 15.07.2002



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