Generalized integral Jensen inequality

被引:1
|
作者
Nazari Pasari, Saeed [1 ]
Barani, Ali [1 ]
Abbasi, Naser [1 ]
机构
[1] Lorestan Univ, Fac Sci, Dept Math, Khorramabad 6815144316, Iran
关键词
Jensen-type inequality; Invex sets; Preinvex functions; PREINVEX FUNCTIONS; INVEX SETS;
D O I
10.1186/s13660-024-03106-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we introduce necessary and sufficient conditions for a real-valued function to be preinvex. Some properties of preinvex functions and new versions of Jensen's integral type inequality in this setting are given. Several examples are also involved.
引用
收藏
页数:11
相关论文
共 50 条
  • [1] Generalized integral Jensen inequality
    Saeed Nazari Pasari
    Ali Barani
    Naser Abbasi
    Journal of Inequalities and Applications, 2024
  • [2] On the Jensen type inequality for generalized Sugeno integral
    Kaluszka, Marek
    Okolewski, Andrzej
    Boczek, Michal
    INFORMATION SCIENCES, 2014, 266 : 140 - 147
  • [3] Jensen's inequality for Choquet integral revisited and a note on Jensen's inequality for generalized Choquet integral
    Zhang, Deli
    Mesiar, Radko
    Pap, Endre
    FUZZY SETS AND SYSTEMS, 2022, 430 : 79 - 87
  • [4] 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
  • [5] 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,
  • [6] Refinement of the Jensen integral inequality
    Dragomir, Silvestru Sever
    Khan, Muhammad Adil
    Abathun, Addisalem
    OPEN MATHEMATICS, 2016, 14 : 221 - 228
  • [7] A GENERALIZED JENSEN'S INEQUALITY
    Wang Zaihua
    Shen Qifu
    工科数学, 1994, (01) : 105 - 107
  • [8] SUPERADDITIVITY OF THE JENSEN INTEGRAL INEQUALITY WITH APPLICATIONS
    Dragomir, S. S.
    MISKOLC MATHEMATICAL NOTES, 2012, 13 (02) : 303 - 316
  • [9] Jensen Inequality with Subdifferential for Sugeno Integral
    Szakal, Aniko
    Pap, Endre
    Abbaszadeh, Sadegh
    Gordji, Madjid Eshaghi
    ADVANCES IN SOFT COMPUTING, MICAI 2016, PT II, 2017, 10062 : 193 - 199
  • [10] Holder Type Inequality and Jensen Type Inequality for Choquet Integral
    Zhao, Xuan
    Zhang, Qiang
    KNOWLEDGE ENGINEERING AND MANAGEMENT, 2011, 123 : 219 - 224