Abstract

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.

Author information

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

Nicolai V. Krylov

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

nkrylov@umn.edu

Keywords

  • Quasi-convex functions
  • convex functions
  • monotone functions

Mathematics Subject Classification

26B25, 26B40

Suggested citation

N. V. Krylov. “A Note on Quasi-Convex Functions.” Journal of Convex Analysis 26 (2019), No. 1, 269–273.

Copyright Banach Press 2019