CONVEXITY, SUBADDITIVITY AND GENERALIZED JENSEN'S INEQUALITY

被引:10
|
作者
Abramovich, Shoshana [1 ]
机构
[1] Univ Haifh, Dept Math, Haifa, Israel
来源
ANNALS OF FUNCTIONAL ANALYSIS | 2013年 / 4卷 / 02期
关键词
Convexity; subadditivity; Jensen's inequality; Holder's inequality; Minkowski's inequality; FUNCTIONALS; QUASILINEARITY;
D O I
10.15352/afa/1399899535
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we extend some theorems published lately on the relationship between convexity/concavity, and subadditivity/superadditivity. We also generalize inequalities of compound functions that refine Minkowski inequality.
引用
收藏
页码:183 / 194
页数:12
相关论文
共 50 条
  • [41] An equivalent condition to the Jensen inequality for the generalized Sugeno integral
    Mohsen Jaddi
    Ali Ebadian
    Manuel de la Sen
    Sadegh Abbaszadeh
    Journal of Inequalities and Applications, 2017
  • [42] On the Jensen-Steffensen inequality for generalized convex functions
    M. Klaričić Bakula
    A. Matković
    J. Pečarić
    Periodica Mathematica Hungarica, 2007, 55 : 19 - 34
  • [43] ON THE JENSEN-STEFFENSEN INEQUALITY FOR GENERALIZED CONVEX FUNCTIONS
    Bakula, M. Klaricic
    Matkovic, A.
    Pecaric, J.
    PERIODICA MATHEMATICA HUNGARICA, 2007, 55 (01) : 19 - 34
  • [44] An equivalent condition to the Jensen inequality for the generalized Sugeno integral
    Jaddi, Mohsen
    Ebadian, Ali
    de la Sen, Manuel
    Abbaszadeh, Sadegh
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [45] On Maligranda's generalization of Jensen's inequality
    Pecaric, JE
    Veljan, D
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 200 (01) : 121 - 125
  • [46] A Note on Jensen’s Inequality for BSDEs
    Sheng Jun FANCollege of Sciences
    Acta Mathematica Sinica(English Series), 2009, 25 (10) : 1681 - 1692
  • [47] An application of Jensen's inequality Solution
    Luca, Florian
    FIBONACCI QUARTERLY, 2019, 57 (02): : 185 - 185
  • [48] ON A NEW CONVERSE OF JENSEN'S INEQUALITY
    Simic, Slavko
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2009, 85 (99): : 107 - 110
  • [49] Jensen’s inequality on convex spaces
    Kazuhiro Kuwae
    Calculus of Variations and Partial Differential Equations, 2014, 49 : 1359 - 1378
  • [50] On a Converse of Jensen's Discrete Inequality
    Slavko Simic
    Journal of Inequalities and Applications, 2009