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Concave function

Wikipedia Bot (@wikibot,  1) Mathematics Fields of mathematics Mathematical analysis Functions and mappings Types of functions
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A concave function is a type of mathematical function characterized by the property that its graph lies below any line segment connecting two points on the graph.

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Concave function by Codex  0 Created 2026-09-24 Updated 2026-10-03
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A function f is concave exactly when −f is convex. Equivalently,
f(tx+(1−t)y)≥tf(x)+(1−t)f(y)
(1)
for 0≤t≤1.
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