Mixed symmetric means related to the classical Jensen's Inequality (original) (raw)
2013, Journal of Mathematical Inequalities
https://doi.org/10.7153/JMI-07-05
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Abstract
In this paper, we define some new mixed symmetric means corresponding to various refinements of classical Jensen's inequality. A new refinement of classical Jensen's inequality is given. We also prove the n -exponential convexity for the functionals constructed from the refinement results. In the end some applications are discussed.
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