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).


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
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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