Generalized integral Jensen inequality

被引：0
|
作者：
Saeed Nazari Pasari
Ali Barani
Naser Abbasi
机构：
[1] Lorestan University,Department of Mathematics, Faculty of Science
来源：
Journal of Inequalities and Applications | / 2024卷
关键词：
Jensen-type inequality; Invex sets; Preinvex functions; 26D15; 26D07; 26A51;
D O I：
暂无
中图分类号：
学科分类号：
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
相关论文
共 50 条
  • [21] Generalization of Jensen Mercer inequality on Delta integral with Applications
    Chanan, Sadia
    Irshad, Nazia
    Khan, Afshan
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (03): : 1448 - 1463
  • [22] A strengthening of Jensen's inequality for asymmetric Choquet integral
    Agahi, Hamzeh
    FUZZY SETS AND SYSTEMS, 2024, 483
  • [23] Generalization of the Jensen's inequality for pseudo-integral
    Pap, Endre
    Strboja, Mirjana
    2008 6TH INTERNATIONAL SYMPOSIUM ON INTELLIGENT SYSTEMS AND INFORMATICS, 2008, : 173 - 175
  • [24] On the Jensen-Steffensen inequality for generalized convex functions
    M. Klaričić Bakula
    A. Matković
    J. Pečarić
    Periodica Mathematica Hungarica, 2007, 55 : 19 - 34
  • [25] Jensen type inequality for the pseudo-integral based on the smallest universal integral
    Pap, Endre
    Strboja, Mirjana
    2014 IEEE 12TH INTERNATIONAL SYMPOSIUM ON INTELLIGENT SYSTEMS AND INFORMATICS (SISY), 2014, : 143 - 147
  • [26] ON THE JENSEN-STEFFENSEN INEQUALITY FOR GENERALIZED CONVEX FUNCTIONS
    Bakula, M. Klaricic
    Matkovic, A.
    Pecaric, J.
    PERIODICA MATHEMATICA HUNGARICA, 2007, 55 (01) : 19 - 34
  • [27] A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications
    Sayed, Zaid Mohammed Mohammed Mahdi
    Khan, Muhammad Adil
    Khan, Shahid
    Pecaric, Josip
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [28] A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications
    Sayed, Zaid Mohammed Mohammed Mahdi
    Khan, Muhammad Adil
    Khan, Shahid
    Pecaric, Josip
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [29] Sharp bounds of Jensen type for the generalized Sugeno integral
    Boczek, Michal
    Kaluszka, Marek
    INFORMATION SCIENCES, 2019, 481 : 463 - 473
  • [30] Refining Jensen's Integral Inequality for Divisions of Measurable Space
    Dragomir, Silvestru Sever
    JOURNAL OF MATHEMATICAL EXTENSION, 2018, 12 (02) : 87 - 106
12345