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convex function

File:ConvexFunction.svg · Wikimedia Commons · See Wikimedia Commons

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convex function

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real function with secant line between points above the graph itself

Wikidata facts

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Convex supergraph.svg
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WikiProject Mathematics
opposite of
concave function
has characteristic
Jensen's inequality
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~33 min read

Encyclopedic overview

Convex function on an interval

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 x + xy + y Convex vs. not convex

Excerpted from Wikipedia’s “convex function” article, available under the CC BY-SA 4.0 licence.

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