Geodesic
On some convexity questions of Handelman
Canadian mathematical bulletin, Tome 67 (2024) no. 4, pp. 936-939

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DOI

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 $h(n)^{1/n}\rightarrow 1$.
DOI : 10.4153/S0008439524000316
Mots-clés : Log convex functions, Convexity, Integrable functions 
Simanek, Brian. On some convexity questions of Handelman. Canadian mathematical bulletin, Tome 67 (2024) no. 4, pp. 936-939. doi: 10.4153/S0008439524000316
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     author = {Simanek, Brian},
     title = {On some convexity questions of {Handelman}},
     journal = {Canadian mathematical bulletin},
     pages = {936--939},
     year = {2024},
     volume = {67},
     number = {4},
     doi = {10.4153/S0008439524000316},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000316/}
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