An Extension of a Theorem on Supports of a Convex Function

S. M. Sinha
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S. M. Sinha: University of Delhi, India

Management Science, 1966, vol. 12, issue 5, 380-384

Abstract: In Eisenberg, E. 1962. Supports of a convex function. Bull. Amer. Math. Soc. 68 192-195, Eisenberg has given a characterization of the set of all supports of a convex function defined on a polyhedral convex cone. This extends the famous Farkas' Lemma and is very useful in programming problems. In this paper we will show that the result is true even for a larger class of convex functions.

Date: 1966
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