IJPAM: Volume 71, No. 1 (2011)


Nicuşor Minculete$^1$, Shigeru Furuichi$^2$
$^1$ Dimitrie Cantemir University
Braşov, 500068, ROMANIA
$^2$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