A Note on Quasi-Convex Functions

Abstract

We present an example of smooth quasi-convex functions in the positive octant of

\mathbb{R}^3

which cannot be obtained as the images of convex smooth functions under a monotone smooth mapping of

\mathbb{R}

.

Contact details are reproduced from the original publication and may be historical.

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

26B25, 26B40

Published by Heldermann Verlag, 2019. Rights now held by Banach Press.