IJPAM: Volume 71, No. 1 (2011)
SEVERAL APPLICATIONS OF
CARTWRIGHT-FIELD'S INEQUALITY
CARTWRIGHT-FIELD'S INEQUALITY
Nicuşor Minculete
, Shigeru Furuichi
Braşov, 500068, ROMANIA
Department of Computer Science and System Analysis
College of Humanities and Sciences
Nihon University
3-25-40, Sakurajyousui, Setagaya-Ku, Tokyo, 156-8550, JAPAN
, Shigeru Furuichi
Dimitrie CantemirUniversity
Braşov, 500068, ROMANIA
Department of Computer Science and System Analysis
College of Humanities and Sciences
Nihon University
3-25-40, Sakurajyousui, Setagaya-Ku, Tokyo, 156-8550, JAPAN
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.
Received: March 20, 2011
AMS Subject Classification: 15A39, 15A45, 26D15
Key Words and Phrases: Cartwright-Field's inequality, Young's inequality, Bernoulli's inequality, Hölder's inequality, arithmetic function, operator inequality
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 71
Issue: 1
