# Convex function

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Convex function](https://ocme.evemisslab.com/en/atlas/atlas-convex-function/)

A function on a convex domain is convex when its value at every two-point convex combination is at most the same weighted combination of endpoint values.

atlas-convex-function · canonical_mko

[Convex function](https://ocme.evemisslab.com/en/mko/mko-convex-function/)

## Prerequisite nodes


- [Convex set](https://ocme.evemisslab.com/en/atlas/atlas-convex-set/)
- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)
- [Usual order on the real numbers](https://ocme.evemisslab.com/en/atlas/atlas-order-relation/)