Generalizations and Analogues of the Nesbitt's Inequality

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Wei, Fuhua and Wu, Shanhe (2009) Generalizations and Analogues of the Nesbitt's Inequality. Research report collection, 12 (Supp).

Abstract

The Nesbitt’s inequality is generalized by introducing exponent and weight parameters. Several Nesbitt-type inequalities for n variables are provided. Finally, two analogous forms of Nesbitt’s inequality are given.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17964
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Nesbitt's inequality, Cauchy-Schwarz inequality, Chebyshev's inequality, power mean inequality, generalization, analogue
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