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On some convexity questions of Handelman
Published online by Cambridge University Press: 16 May 2024
Abstract
We resolve some questions posed by Handelman in 1996 concerning log convex $L^1$ functions. In particular, we give a negative answer to a question he posed concerning the integrability of
$h^2(x)/h(2x)$ when h is
$L^1$ and log convex and
$h(n)^{1/n}\rightarrow 1$.
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society