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A set of inequalities

Published online by Cambridge University Press:  01 August 2016

A. J. B. Ward
A. J. B. Ward*
Affiliation:
School of Mathematics, Kingston Polytechnic, Surrey KT1 2EE
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Extract

It is my purpose to establish a set of inequalities between symmetric homogeneous polynomials in several real variables. That may sound a bit grand, but the simplest example of such an inequality is the familiar

A more complicated inequality of the same general type is the inequality

Again increasing the degree of complexity we have the pair of inequalities

Type
Research Article
Information
The Mathematical Gazette , Volume 72 , Issue 459 , March 1988 , pp. 16 - 19
Copyright
Copyright © Mathematical Association 1988

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