English

A note on quasi-convex functions

Optimization and Control 2017-11-21 v1

Abstract

We present an example of smooth quasi-convex functions in the positive octant of R3\mathbb{R}^{3} which cannot be obtained as the images of convex smooth functions under a monotone smooth mappings of R\mathbb{R}.

Keywords

Cite

@article{arxiv.1711.07105,
  title  = {A note on quasi-convex functions},
  author = {N. V. Krylov},
  journal= {arXiv preprint arXiv:1711.07105},
  year   = {2017}
}

Comments

4 pages

R2 v1 2026-06-22T22:50:57.095Z