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Results tagged with real-analysis
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user 20806
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Does complete monotonicity of f imply log-concavity of f?
Let f be a completely monotonic function with $f(0)=1$, that is,
$ f:[0, \infty) \rightarrow (0,1] $. My question is:
Is f log concave, that is, is $(logf)''<0$ or equivalently $ f f''< f'^2 $. ?
A …
