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An Extension of a Theorem on Supports of a Convex Function

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  • S. M. Sinha

    (University of Delhi, India)

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.

Suggested Citation

  • S. M. Sinha, 1966. "An Extension of a Theorem on Supports of a Convex Function," Management Science, INFORMS, vol. 12(5), pages 380-384, January.
    • Handle: RePEc:inm:ormnsc:v:12:y:1966:i:5:p:380-384
    DOI: 10.1287/mnsc.12.5.380
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    Cited by:

    1. S. Chadha & R. Kaul, 1972. "A dual non-linear program," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 19(1), pages 18-22, December.
    2. Husain, I. & Hanson, Morgan A. & Jabeen, Z., 2005. "On nondifferentiable fractional minimax programming," European Journal of Operational Research, Elsevier, vol. 160(1), pages 202-217, January.

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