Exact converses to a reverse AM-GM inequality, with applications to sums of independent random variables and (super)martingales

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• Iosif Pinelis

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• Primary
• 26D15
• 60E15

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• arithmetic mean
• geometric mean
• random variables
• inequalities
• exact bounds
• Jensen inequality
• reverse Jensen inequality
• converse to a reverse Jensen inequality
• duality
• Markov inequality
• Bernstein-Chernoff inequality
• Bennett-Hoeffding inequality

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