SOME BETTER BOUNDS IN CONVERSES OF THE JENSEN OPERATOR INEQUALITY

被引：5
|
作者：
Micic, Jadranka [1 ]
Pavic, Zlatko [2 ]
Pecaric, Josip [3 ]
机构：
[1] Univ Zagreb, Fac Mech Engn & Naval Architecture, Zagreb 10000, Croatia
[2] Univ Osijek, Fac Mech Engn, Slavonski Brod 35000, Croatia
[3] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
来源：
OPERATORS AND MATRICES | 2012年 / 6卷 / 03期
关键词：
convex function; Jensen's operator inequality; Mond-Pecaric method; self-adjoint operators; positive linear mapping;
D O I：
10.7153/oam-06-40
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study converses of a generalized Jensen's inequality for a continuous field of self-adjoint operators, a unital field of positive linear mappings and real values continuous convex functions. We obtain some better bounds than the ones calculated in a series of papers in which these inequalities are studied. As an application, we provide a refined calculation of bounds in the case of power functions.
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页码：589 / 605
页数：17
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