Journal of Convex Analysis 26 (2019), No. 1, 269--273
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.
nkrylov@umn.edu
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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