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arXiv · 2402.10970

On Some Convexity Questions of Handelman

Brian Simanek
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Abstract

We resolve some questions posed by Handelman in 1996 concerning log convex integrable 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 integrable and log convex and $h(n)^{1/n}$ converges to 1.

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Brian Simanek. 2024-02-14. On Some Convexity Questions of Handelman. https://doi.org/10.4153/s0008439524000316

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