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

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Dragomir, Sever S, 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).

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
URI https://vuir.vu.edu.au/id/eprint/17249
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Hadamard's inequality, M-Lipschitzian mapping, the mappings F and H
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