Inequalities of Hadamard's type for Lipschitzian mappings and their applications

被引：121

作者：

Dragomir, SS

Cho, YJ

Kim, SS

机构：

[1] Victoria Univ Technol, Sch Commun & Informat, Melbourne, Vic 8001, Australia

[2] Gyeongsang Natl Univ, Dept Math, Chinju 660701, South Korea

[3] Dongeui Univ, Dept Math, Pusan 614714, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 245卷 / 02期

关键词：

Hadamard's inequality; M-Lipschitzian mapping; the mappings F and H;

D O I：

10.1006/jmaa.2000.6769

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2000 Academic Press.

引用

页码：489 / 501

页数：13

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