Maclaurin’s Inequality and a Generalized Bernoulli Inequality

نویسنده

  • Iddo Ben-Ari
چکیده

Maclaurin’s inequality is a natural, but nontrivial, generalization of the arithmetic-geometric mean inequality. We present a new proof that is based on an analogous generalization of Bernoulli’s inequality. Applications of Maclaurin’s inequality to iterative sequences and probability are discussed, along with a graph-theoretic version of the inequality.

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تاریخ انتشار 2013