IMPROVED JENSEN-DRAGOMIR TYPE INEQUALITIES AND APPLICATIONS

被引：0
|
作者：
The, Pham Thanh [1 ]
Van, Doan Thi Thuy [2 ]
Huy, Duong Quoc [2 ]
机构：
[1] Tay Nguyen Univ, Off Acad Affairs, 567 Le Duan, Buon Ma Thuot, Dak Lak, Vietnam
[2] Tay Nguyen Univ, Dept Math, 567 Le Duan, Buon Ma Thuot, Dak Lak, Vietnam
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 03期
关键词：
Convex function; log-convex function; Jensen inequality; Jensen-Dragomir inequality; triangle inequality;
D O I：
10.7153/jmi-2024-18-58
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish refinements of the Jensen-Dragomir type inequalities for convex and log-convex functions. Some further generalizations of these types of inequalities via the theory of weak submajorization are also given. Several applications of the obtained inequalities for refining and reversing of the majorization inequality and the generalized triangle inequality in Banach spaces are also presented.
引用
收藏
页码：1053 / 1066
页数：14
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