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Journal Articles Journal of Optimization Theory and Applications Year : 2021

On Quasiconvex Functions Which are Convexifiable or Not

Abstract

A quasiconvex function f being given, does there exist an increasing and continuous function k which makes k∘f convex? How to build such a k? Some words on least convex (concave) functions. The ratio of two positive numbers is neither locally convexifiable nor locally concavifiable. Finally, some considerations on the approximation of a preorder from a finite number of observations and on the revealed preference problem are discussed.
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hal-03432694 , version 1 (17-11-2021)

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Jean-Pierre Crouzeix. On Quasiconvex Functions Which are Convexifiable or Not. Journal of Optimization Theory and Applications, 2021, ⟨10.1007/s10957-021-01965-1⟩. ⟨hal-03432694⟩
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