%0 Journal Article
%T Shapiro's cyclic inequality for even
%A Bushell PJ
%A Mcleod JB
%J Journal of Inequalities and Applications
%D 2002
%I Springer
%X In 1954 H. S. Shapiro proposed an inequality for a cyclic sum in variables. All the numerical evidence indicates that the inequality is true for even and for odd . We give an analytic proof for the case , which implies the former result. The remaining case remains an open problem.
%K Cyclic inequality
%K Shapiro's cyclic sum
%K Diananda result
%K Tridiagonal matrix
%U http://www.journalofinequalitiesandapplications.com/content/7/509463