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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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https://hal.uca.fr/hal-03432694
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Submitted on : Wednesday, November 17, 2021 - 1:22:57 PM
Last modification on : Thursday, November 18, 2021 - 3:56:34 AM

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

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