concave function

Negative of a convex function

EntityQ2914302

Also known as convex upwards

Subclass of: function
Part of: concave and convex functions

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, a concave function is one for which the function value at any convex combination of elements in the domain is greater than or equal to that convex combination of those domain elements. Equivalently, a concave function is any function for which the hypograph is convex. The class of concave functions is in a sense the opposite of the class of convex functions. A concave function is also synonymously called concave downwards, concave down, convex upwards, convex cap, or upper convex.

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13 statements · 38% with external sources · numbers in brackets are citations

Opposite of: convex function

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11 identifiers linking concave function across the web's reference databases

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statements

38%

externally sourced

Source last edited July 20, 2026. AIDB refreshes this page daily.

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AIDB. (2026). concave function (Q2914302). Retrieved from https://aidb.si/e/concave-function-Q2914302