Logarithmically concave function: Difference between revisions

Revision as of 17:54, 19 December 2005

Revision as of 17:32, 10 January 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 (i.e.,g. <math>\exp\{-x^2\}</math>).

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