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Logarithmically Concave Function


A function f(x) is logarithmically concave on the interval [a,b] if f>0 and lnf(x) is concave on [a,b]. The definition can also be extended to R^k->(0,infty) functions (Dharmadhikari and Joag-Dev 1988, p. 18).


See also

Concave Function, Logarithmically Convex Function

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References

Dharmadhikari, S. and Joag-Dev, K. Unimodality, Convexity, and Applications. Boston, MA: Academic Press, 1988.

Referenced on Wolfram|Alpha

Logarithmically Concave Function

Cite this as:

Weisstein, Eric W. "Logarithmically Concave Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LogarithmicallyConcaveFunction.html

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