On Jensen's inequality for the power function of norm of bounded linear operators

被引：0
|
作者：
Li, Zheng [1 ]
Zhang, Tie [1 ]
Li, Changjun [2 ]
机构：
[1] Northeastern Univ, Dept Math, Shenyang 110004, Peoples R China
[2] Univ Sci & Technol Liaoning, Sch Elect & Informat Engn, Anshan 114051, Peoples R China
来源：
SECOND INTERNATIONAL CONFERENCE ON PHYSICS, MATHEMATICS AND STATISTICS | 2019年 / 1324卷
关键词：
D O I：
10.1088/1742-6596/1324/1/012011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some Jensen's inequalities for the power function of norm of bounded linear operators are proposed. First, a Jensen's inequality for a power function on is investigated. Based on it, Jensen's inequality for the power function of norm of bounded linear operators is established. Finally, the discussion extends to the polynomial with non-negative coefficients of the power function of the norm, and corresponding Jensen's inequality is obtained.
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页数：6
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