Several applications of Cartwright-Field's inequality.

link: http://arxiv.org/abs/1103.3533
Abstract

In this paper we present several applications of Cartwright-Field's
inequality. Among these we found Young's inequality, Bernoulli's inequality,
the inequality between the weighted power means, H\"{o}lder's inequality and
Cauchy's inequality. We give also two applications related to arithmetic
functions and to operator inequalities.