A function (in black) is convex if and only if the region above its graph (in green) is a convex set. A graph of the bivariate convex function x2 + xy + y2. Convex vs. Not convex In mathematics, a …

Dec 3, 2025 · A convex function is a continuous function whose value at the midpoint of every interval in its domain does not exceed the arithmetic mean of its values at the ends of the …

Dec 6, 2016 · Middle French or Latin; Middle French convexe, from Latin convexus vaulted, concave, convex, from com- + -vexus; perhaps akin to Latin vehere to carry — more at way

Sep 9, 2023 · Learn the difference between concave vs convex for lenses, mirrors, polygons, and mathematical functions. See how to remember the difference.

Types of Functions > Contents: What is a Convex Function? Closed Convex Function Jensen’s Inequality Convex Function Definition A convex function has a very distinct ‘smiley face’ …

Illustrated definition of Convex: Going outwards. Example: A polygon (which has straight sides) is convex when there are NO dents or indentations...

Convex functions are real valued functions which visually can be understood as functions which satisfy the fact that the line segment joining any two points on the graph of the function lie …