Logarithmically concave function: Difference between revisions

Revision as of 17:51, 19 December 2005

Revision as of 17:53, 19 December 2005

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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., <math>e^{-x^2}</math>.

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