Title: Conditions for Convexity of Quasiconvex Functions
Abstract: Necessary and sufficient conditions for convexity of lower semi-continuous quasiconvex functions are given. By applying these results to positively homogeneous functions it is shown that if f is a quadratic form which is quasiconvex on a convex C then f is convexifiable, that is, there exists a strictly increasing function k such that k ∘ f is convex.
Publication Year: 1980
Publication Date: 1980-02-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 34
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