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- W4234966164 abstract "The behavior of convex functions is of interest in connection with a wide variety of optimization problems. It is shown here that this behavior is especially simple, in certain respects, when the domain is a polytope or belongs to certain classes of sets closely related to polytopes; moreover, the polytopes and related classes are actually characterized by this simplicity of behavior. The following corollary is useful in mathematical economics: If $D$ is a boundedly polyhedral set and $phi$ is a convex function on the relative interior of $D$ such that $phi$ is bounded on bounded sets, then $phi$ can be extended in a unique way to a continuous convex function on $D$." @default.
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- W4234966164 date "1968-08-01" @default.
- W4234966164 modified "2023-10-18" @default.
- W4234966164 title "Convex Functions on Convex Polytopes" @default.
- W4234966164 doi "https://doi.org/10.2307/2035330" @default.
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