A note on quasi-convex functions

Nicolai V. Krylov

A note on quasi-convex functions

Mathematics

Research output: Contribution to journal › Article › peer-review

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 R.

Original language	English (US)
Pages (from-to)	269-273
Number of pages	5
Journal	Journal of Convex Analysis
Volume	26
Issue number	1
State	Published - Jan 1 2019

Keywords

Convex functions
Monotone functions
Quasi-convex functions

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title = "A note on quasi-convex functions",

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 R.",

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