A note on quasi-convex functions

Nicolai V. Krylov

Research output: Contribution to journalArticlepeer-review


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 R.

Original languageEnglish (US)
Pages (from-to)269-273
Number of pages5
JournalJournal of Convex Analysis
Issue number1
StatePublished - Jan 1 2019


  • Convex functions
  • Monotone functions
  • Quasi-convex functions


Dive into the research topics of 'A note on quasi-convex functions'. Together they form a unique fingerprint.

Cite this