Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Convex function

Revision as of 00:59, 29 June 2006 by ComplexZeta (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Let $f:\mathbb{R}\to\mathbb{R}$ be a function, and let $(a,b)$ be an open interval. (This can be done with closed intervals or half-open intervals as well.) Then $f$ is said to be convex on $(a,b)$ if $f''(x)\ge 0$ for all $x\in(a,b)$.

This article is a stub. Help us out by expanding it.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Convex_function&oldid=5263"