REFINED JENSEN'S OPERATOR INEQUALITY WITH CONDITION ON SPECTRA

被引：11

作者：

Micic, Jadranka ^{[1
]}

Pecaric, Josip ^{[2
]}

Peric, Jurica ^{[3
]}

机构：

[1] Univ Zagreb, Fac Mech Engn & Naval Architecture, Zagreb 10000, Croatia

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

[3] Univ Split, Fac Sci, Dept Math, Split 21000, Croatia

来源：

OPERATORS AND MATRICES | 2013年 / 7卷 / 02期

关键词：

self-adjoint operator; positive linear mapping; convex function; Jensen's operator inequality; quasi-arithmetic mean; CONVERSES;

D O I：

10.7153/oam-07-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a refinement of Jensen's inequality for n-tuples of self-adjoint operators, unital n-tuples of positive linear mappings and real valued continuous convex functions with condition on the spectra of the operators. The refined Jensen's inequality is used to obtain a refinement of inequalities among quasi-arithmetic means under similar conditions. As an application of these results we give a refinement of inequalities among power means.

引用

页码：293 / 308

页数：16