A variant of the Jensen-Mercer operator inequality for superquadratic functions

被引：11
|
作者：
Baric, J. [1 ]
Matkovic, A. [1 ]
Pecaric, J. [2 ]
机构：
[1] Univ Split, Fac Elect Engn, Split 21000, Croatia
[2] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 51卷 / 9-10期
关键词：
Jensen-Mercer operator inequality; Superquadratic functions; Operator power means of Mercer's type; REFINEMENTS;
D O I：
10.1016/j.mcm.2010.01.005
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A variant of the Jensen-Mercer operator inequality for superquadratic functions, which is a refinement of the Jensen-Mercer operator inequality for convex functions, is proved. The result obtained is used to refine some comparison inequalities between operator power and quasi-arithmetic means of Mercer's type. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1230 / 1239
页数：10
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