ON SOME INEQUALITIES IN NORMED LINEAR SPACES

被引：1

作者：

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

机构：

[1] Victoria Univ, Sch Engn & Sci, POB 14428, Melbourne, Vic 8001, Australia

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2009年 / 40卷 / 03期

关键词：

Normed linear spaces; Triangle inequality; Massera-Schaffer inequality; Dunkl-Williams inequality; CebySev functional;

D O I：

10.5556/j.tkjm.40.2009.502

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Upper and lower bounds for the norm of a linear combination of vectors are given. Applications in obtaining various inequalities for the quantities vertical bar vertical bar x/x vertical bar vertical bar- y/vertical bar vertical bar y vertical bar vertical bar and vertical bar vertical bar x/vertical bar vertical bar y vertical bar vertical bar-y/vertical bar vertical bar x vertical bar vertical bar vertical bar vertical bar, where x and y are nonzero vectors, that are related to the Massera-Schaffer and the Dunkl-Williams inequalities are also provided. Some bounds for the unweiyhted Cebysev functional are given as well.

引用

页码：225 / 237

页数：13

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