FURTHER JENSEN--MERCER'S TYPE INEQUALITIES FOR CONVEX FUNCTIONS

被引：0
|
作者：
Mohebbi, Faezeh Parvin [1 ]
Hassani, Mahmoud [1 ]
Omidvar, Mohsen Erfanian [1 ]
Moradi, Hamid Reza [1 ]
Furuichi, Shigeru [2 ,3 ]
机构：
[1] Islamic Azad Univ, Mashhad Branch, Dept Math, Mashhad, Iran
[2] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, Setagaya Ku, Tokyo, Japan
[3] SIMATS Thandalam, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamilnadu, India
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 02期
关键词：
Jensen-Mercer inequality; convex function; continuous functional calculus;
D O I：
10.7153/jmi-2024-18-39
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article considers the class of convex functions and derives further Jensen-Mercer'stype inequalities. The obtained results improve and generalize some known inequalities. A reverse of Jesnen-Mercer's inequality for scalars and operators is also given. As an application, we provide a new and non -trivial inequality related to the Wigner-Yanase-Dyson function and the logarithmic mean.
引用
收藏
页码：719 / 737
页数：19
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