On Reversing Operator Choi-Davis-Jensen Inequality

被引：1
|
作者：
Hashemi Karouei, Seyyed Saeid [1 ]
Asgari, Mohammad Sadegh [1 ]
Shah Hosseini, Mohsen [2 ]
机构：
[1] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Fac Sci, Tehran, Iran
[2] Islamic Azad Univ, Shahr E Qods Branch, Dept Math, Tehran, Iran
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2021年 / 45卷 / 04期
关键词：
Hermite-Hadamard inequality; Davis-Choi-Jensen inequality; Convex function; Self-adjoint operator; Positive operator; POSITIVE LINEAR-MAPS;
D O I：
10.1007/s40995-021-01129-w
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we first provide a better estimate of the second inequality in Hermite-Hadamard inequality. Next, we study the reverse of the celebrated Davis-Choi-Jensen's inequality. Our results are employed to establish a new bound for the operator Kantorovich inequality.
引用
收藏
页码：1405 / 1410
页数：6
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