On Some Convexity Questions of Handelman

Autor: Simanek, Brian
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
DOI: 10.4153/S0008439524000316
Popis: 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.
Comment: 4 pages
Databáze: arXiv