Logarithmically concave function: Difference between revisions

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A function <math>f</math> is '''logarithmically concave''' (or '''log-concave''' for short), if its [[natural loglogarithm]] <math>\ln(f(x))</math>, is [[concave function|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.