BOUNDS IN TERMS OF GATEAUX DERIVATIVES FOR THE WEIGHTED f-GINI MEAN DIFFERENCE IN LINEAR SPACES

被引：2

作者：

Dragomir, S. S. ^{[1
,2
]}

机构：

[1] Victoria Univ, Sch Sci & Engn, Melbourne City, MC 8001, Australia

[2] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 83卷 / 03期

关键词：

convex functions; Jensen's inequality; Gateaux lateral derivatives; norms; semi-inner products; means; weighted f-Gini mean difference; EMPIRICAL DISTRIBUTION; JENSENS INEQUALITY; CONVEX;

D O I：

10.1017/S0004972711002048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some bounds in terms of Gateaux lateral derivatives for the weighted f-Gini mean difference generated by convex and symmetric functions in linear spaces are established. Applications for norms and semiinner products are also provided.

引用

页码：420 / 434

页数：15

共 13 条

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