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.
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页码：225 / 237
页数：13
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