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arxiv: 1103.3533 · v1 · pith:PFXQFFSCnew · submitted 2011-03-17 · 🧮 math.CA · math.FA

Several applications of Cartwright-Field's inequality

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keywords inequalityapplicationscartwright-fieldseveralarithmeticbernoullicauchyfound
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In this paper we present several applications of Cartwright-Field's inequality. Among these we found Young's inequality, Bernoulli's inequality, the inequality between the weighted power means, H\"{o}lder's inequality and Cauchy's inequality. We give also two applications related to arithmetic functions and to operator inequalities.

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