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Inequalities of Hadamard's Type for Lipschitzian Mappings and their Applications

Dragomir, Sever S and Cho, Yeol Je and Kim, Seong Sik (1999) Inequalities of Hadamard's Type for Lipschitzian Mappings and their Applications. RGMIA research report collection, 2 (6).

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Abstract

In this paper, we give some inequalities of Hadamard's type for M-Lipschitzian functions. Some applications which are connected with arithmetic mean, geometric mean, harmonic mean, logarithmical mean, identric mean, etc,. for two positive numbers are also given.

Item Type: Article
Uncontrolled Keywords: Hadamard's inequality, M-Lipschitzian mapping, the mappings F and H
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 00:49
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17249
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