A note on quasi-convex functions

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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

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