The Best Constant for a Geometric Inequality

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

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
URI https://vuir.vu.edu.au/id/eprint/18066
Subjects Current > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords best constant, geometric inequality, Euler's inequality, Gerretsen's inequality, Sylvester's resultant
Citations in Scopus 5 - View on Scopus
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