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Journal of Convex Analysis 26 (2019), No. 1, [final page numbers not yet available]
Copyright Heldermann Verlag 2019

A Note on Quasi-Convex Functions

Nicolai V. Krylov
127 Vincent Hall, University of Minnesota, Minneapolis, MN 55455, U.S.A.

We present an example of smooth quasi-convex functions in the positive octant of R3 which cannot be obtained as the images of convex smooth functions under a monotone smooth mapping of R3.

Keywords: Quasi-convex functions, convex functions, monotone functions.

MSC: 26B25, 26B40

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