A function 
is said to be concave on an interval ![[a,b]](/images/equations/ConcaveFunction/Inline2.svg)
if, for any points 
and 
in ![[a,b]](/images/equations/ConcaveFunction/Inline5.svg)
, the function 
is convex on that interval
(Gradshteyn and Ryzhik 2000).
Concave Function
See also
Convex FunctionExplore with Wolfram|Alpha
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 1132, 2000.Referenced on Wolfram|Alpha
Concave FunctionCite this as:
Weisstein, Eric W. "Concave Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConcaveFunction.html