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Journal of Convex Analysis 19 (2012), No. 2, 569--574 Copyright Heldermann Verlag 2012 A Short Derivation of the Conjugate of a Supremum Function Stephen M. Robinson University of Wisconsin, Dept. of Industrial and Systems Engineering, 1513 University Avenue, Madison, WI 53706-1539, U.S.A. smrobins@wisc.edu We give a very short derivation of the convex conjugate of the function whose value is the pointwise supremum of a finite collection of proper convex functions. Keywords: Pointwise supremum, convex conjugate. MSC: 52A41, 90C25 [ Fulltext-pdf (98 KB)] for subscribers only. |