%0 Journal Article
%T The log-convexity of the fubini numbers
%J Transactions on Combinatorics
%I University of Isfahan
%Z 2251-8657
%A Zou, Qing
%D 2018
%\ 06/01/2018
%V 7
%N 2
%P 17-23
%! The log-convexity of the fubini numbers
%K Fubini number
%K log-convexity
%K monotonicity
%R 10.22108/toc.2017.104212.1496
%X Let $f_n$ denotes the $n$th Fubini number. In this paper, first we give upper and lower bounds for the Fubini numbers $f_n$. Then the log-convexity of the Fubini numbers has been obtained. Furthermore we also give the monotonicity of the sequence $\{\sqrt[n]{f_n}\}_{n\ge 1}$ by using the aforementioned bounds.
%U https://toc.ui.ac.ir/article_21835_8b52d6cf1daabf7e0e9be379112846e3.pdf