MULTIPLE-TERM IMPROVEMENTS OF JENSEN'S INEQUALITY FOR ( p , h ) -CONVEX AND ( p , h ) -LOG CONVEX FUNCTIONS

被引：0
|
作者：
Huy, Duong Quoc [1 ]
Gourty, Abdelmajid [2 ]
Ighachane, Mohamed Amine [3 ]
Boumazgour, Mohamed [4 ]
机构：
[1] Tay Nguyen Univ, Dept Math, 567 Le Duan, Buon Ma Thuot, Dak Lak, Vietnam
[2] Ibn Zohr Univ, Fac Sci Agadir FSA, Math & Applicat Lab, Agadir, Morocco
[3] Chouaib Doukkali Univ, Higher Sch Educ & Training El Jadida, Sci & Technol Team ESTE, El Jadida, Morocco
[4] Fac Sci Agadir FSA, Math & Applicat Lab, Agadir, Morocco
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 03期
关键词：
( p; h )-convex function; h )-log-convex functions; weak sub-majorization; Jensen's inequality; scalar means; H)-CONVEX FUNCTIONS; REFINEMENTS; (P;
D O I：
10.7153/jmi-2024-18-61
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present several new multiple-term improvements of Jensen's inequality for ( p , h )-convex and ( p , h )-log convex functions. As applications of our results, we present new bounds by employing means and Ho<spacing diaeresis>lder type inequalities for the symmetric norms for i-measurable operators. We make links between our findings and a number of well-known discoveries in the literature.
引用
收藏
页码：1099 / 1121
页数：23
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