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Some Improved Results on the Euler's Inequality

Wu, Shan-He (2004) Some Improved Results on the Euler's Inequality. Research report collection, 7 (3).

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Abstract

In this paper, we establish an extension of Euler’s inequality relating two triangles, which imply an interesting sharpness of Euler’s inequality, some results given by Z.-H. Zhang et al in [4] are improved. In addition, we present the sharpness and reverse of Euler’s inequality in different forms.

Item Type: Article
Uncontrolled Keywords: Euler's inequality, Klamkin's inequality, Gerretsen's inequality, sharpness, extension, reverse
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: 16 Aug 2012 10:29
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17173
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