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Some Generalizations of Carathéodory′s Theorem Via Barycentres, with Application to Mathematical Programming

Published online by Cambridge University Press:  20 November 2018

S. H. Tijs  and
J. M. Borwein
S. H. Tijs
Affiliation:
Department of Mathematics Catholic University Nijmegen, The Netherlands
J. M. Borwein
Affiliation:
Department of Mathematics Dalhousie University Halifax, Nova Scotia, Canada (Partially Supported on N.R.C. A4493)
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Abstract

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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 3 , 01 September 1980 , pp. 339 - 346
Copyright
Copyright © Canadian Mathematical Society 1980

References

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