Logarithmically concave function: Difference between revisions

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Revision as of 02:34, 3 February 2006

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A function <math>f</math> is '''log-concave''', if its [[natural log]] <math>\ln(f(x))</math>, is concave. Every [[concave]] function]] is log-concave, however the reverse does not necessarily hold (e.g. <math>\exp\{-x^2\}</math>).

In parallel, a function is '''[[log-convex]]''' if its natural log is convex.

== See also ==

*[[Convex function]]

[[Category:Elementary algebra]]