---
tag: 07Q7CNM5WF
kind: concept
name: Convex function
msc: [26A51]
sources:
  - url: https://en.wikipedia.org/wiki/Convex_function
    locator: lead section
same_as:
  wikidata: Q319913
  wikipedia: Convex function
---

## Summary

A convex function on an interval is a function whose graph lies on or below each of its chords. Convex functions have increasing slopes, and they satisfy Jensen's inequality. The node [[convex function|0VV0HSW1ZS]] gives the precise definition.