The Dunkl-Williams inequality with n elements in normed linear spaces

被引：0

作者：

Pecaric, Josip

Rajic, Rajna

机构：

[1] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

[2] Univ Zagreb, Fac Min Geol & Petr Engn, Zagreb 10000, Croatia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2007年 / 10卷 / 02期

关键词：

triangle inequality; Dunkl-Williams inequality;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish a generalization of the Dunkl-Williams inequality for finitely rnany elements in a normed linear space. As a consequence, we get some recently obtained results on the generalized triangle inequality and its reverse inequality. The case of equality for elements of a strictly convex normed linear space is also considered.

引用

页码：461 / 470

页数：10

共 13 条

[1] A GLIMPSE AT THE DUNKL-WILLIAMS INEQUALITY
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[3] EXTENSION OF DUNKL-WILLIAMS INEQUALITY AND CHARACTERIZATIONS OF INNER PRODUCT SPACES
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[7] DUNKL-WILLIAMS TYPE INEQUALITIES FOR OPERATORS
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[8] INEQUALITIES OF THE DUNKL-WILLIAMS TYPE FOR ABSOLUTE VALUE OPERATORS
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[9] DUNKL-WILLIAMS INEQUALITIES FOR INTEGRABLE FUNCTIONS IN BANACH SPACE
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[10] The Dunkl-Williams equality in pre-Hilbert C*-modules
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