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
相关论文
共 50 条
  • [21] New Jensen-type inequalities
    Niculescu, Constantin P.
    Spiridon, Catalin Irinel
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 401 (01) : 343 - 348
  • [22] On inequalities of Jensen-Ostrowski type
    Pietro Cerone
    Sever S Dragomir
    Eder Kikianty
    Journal of Inequalities and Applications, 2015
  • [23] UNIFORM TREATMENT OF JENSEN TYPE INEQUALITIES
    Pecaric, J.
    Peric, I.
    Lipanovic, M. Rodic
    MATHEMATICAL REPORTS, 2014, 16 (02): : 183 - 205
  • [24] On inequalities of Jensen-Ostrowski type
    Cerone, Pietro
    Dragomir, Sever S.
    Kikianty, Eder
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [25] Improved Heinz inequalities via the Jensen functional
    Krnic, Mario
    Pecaric, Josip
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (09): : 1698 - 1710
  • [26] Chebyshev-Jensen-Type Inequalities Involving χ-Products and Their Applications in Probability Theory
    Liu, Ru
    Wen, Jiajin
    Zhao, Lingzhi
    MATHEMATICS, 2024, 12 (10)
  • [27] Jensen-Ostrowski type inequalities and applications for f-divergence measures
    Cerone, Pietro
    Dragomir, Sever S.
    Kikianty, Eder
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 : 304 - 315
  • [28] Necessary and sufficient conditions for discrete inequalities of Jensen-Steffensen type with applications
    Horvath, Laszlo
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01)
  • [29] On Pecaric-Rajic-Dragomir-Type Inequalities in Normed Linear Spaces
    Zhao Changjian
    Chen, Chur-Jen
    Cheung, Wing-Sum
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [30] On Jensen's Type Inequalities via Generalized Majorization Inequalities
    Khan, Jamroz
    Khan, Muhammad Adil
    Pecaric, Josip
    FILOMAT, 2018, 32 (16) : 5719 - 5733
12345