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Majorized Proof and Extensions of Bernoulli's Inequality

Shi, Huan-Nan (2007) Majorized Proof and Extensions of Bernoulli's Inequality. Research report collection, 10 (3).

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Abstract

By using methods on the theory of majorization, three known extensions of Bernoulli’s inequality are proved and a new extension of this inequality is established by the Schur-concatity of the elementary symmetric function and simple majoricotions.

Item Type: Article
Uncontrolled Keywords: Bernoulli's inequality, convex function, Schur-concavity, elementary symmetric function, majorization
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 11 Feb 2012 04:35
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17544
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