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On Some Convexity Questions of Handelman

Published 14 Feb 2024 in math.CA | (2402.10970v1)

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 $h2(x)/h(2x)$ when $h$ is integrable and log convex and $h(n){1/n}$ converges to 1.

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