Some equivalent forms of the arithematic-geometric mean inequality in probability: A survey.
Yeh, Cheh-Chih, Yeh, Hung-Wen, Chan, Wenyaw (2008)
Journal of Inequalities and Applications [electronic only]
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Yeh, Cheh-Chih, Yeh, Hung-Wen, Chan, Wenyaw (2008)
Journal of Inequalities and Applications [electronic only]
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Journal of Inequalities and Applications [electronic only]
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The optimal hypercontractivity constant for a natural operator semigroup acting on a discrete finite probability space is established up to a universal factor. The two-point spaces are proved to be the extremal case. The constants obtained are also optimal in the related moment inequalities for sums of independent random variables.