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Several applications of Cartwright-Field's inequality

2011/03/17 by Nicuşor Minculete, Minculete, Nicuşor, Shigeru Furuichi +1
Mathematics · #Advanced Mathematical Theories #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematics and Applications #math.CA #math.FA

paper · pdf · doi:10.48550/arxiv.1103.3533

11 pages

arxiv created 2011/03/17 · openalex publication_date 2011/03/17 · arxiv updated 2011/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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, Hölder's inequality and Cauchy's inequality. We give also two applications related to arithmetic functions and to operator inequalities.

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