Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

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.

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

[ Fulltext-pdf  (65  KB)] for subscribers only.