Majorized Proof and Extensions of Bernoulli's Inequality
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Shi, Huan-Nan (2007) Majorized Proof and Extensions of Bernoulli's Inequality. Research report collection, 10 (3).
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 |
| URI | https://vuir.vu.edu.au/id/eprint/17544 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | Bernoulli's inequality, convex function, Schur-concavity, elementary symmetric function, majorization |
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