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The Best Constant for a Geometric Inequality

Wu, Yu-Dong (2005) The Best Constant for a Geometric Inequality. Research report collection, 8 (1).

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Abstract

In this paper, we prove that the best constant for the geometric inequality (11√3)/(5R+12r+k(2r−R)) ≤ (1/a) + (1/b) + (1/c) is a root of one polynomial by the method of mathematical analysis and linear algebra.

Item Type: Article
Uncontrolled Keywords: best constant, geometric inequality, Euler's inequality, Gerretsen's inequality, Sylvester's resultant
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: 01 Mar 2012 05:51
Last Modified: 23 May 2013 16:54
URI: http://vuir.vu.edu.au/id/eprint/18066
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Citations in Scopus: 5 - View on Scopus

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