Some Improved Results on the Euler's Inequality

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


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
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Euler's inequality, Klamkin's inequality, Gerretsen's inequality, sharpness, extension, reverse
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