A function is logarithmically concave on the interval if and is concave on . The definition can also be extended to functions (Dharmadhikari and Joag-Dev 1988, p. 18).
Logarithmically Concave Function
See also
Concave Function, Logarithmically Convex FunctionExplore with Wolfram|Alpha
References
Dharmadhikari, S. and Joag-Dev, K. Unimodality, Convexity, and Applications. Boston, MA: Academic Press, 1988.Referenced on Wolfram|Alpha
Logarithmically Concave FunctionCite this as:
Weisstein, Eric W. "Logarithmically Concave Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LogarithmicallyConcaveFunction.html