Refinements of Jensen's inequality by uniformly convex functions

被引：1
|
作者：
Abramovich, Shoshana [1 ]
机构：
[1] Univ Haifa, Dept Math, Haifa, Israel
来源：
AEQUATIONES MATHEMATICAE | 2023年 / 97卷 / 01期
关键词：
Convex functions; Generalized convex functions; psi-uniformly convex functions; Superquadratic functions; Strongly convex functions;
D O I：
10.1007/s00010-022-00922-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we deal with functions related to generalized convexity and refine Jensen type inequalities satisfied by such functions. Specifically, we extend inequalities satisfied by uniformly convex functions, strongly convex functions as well as superquadratic functions.
引用
收藏
页码：75 / 88
页数：14
相关论文
共 50 条
  • [1] Refinements of Jensen’s inequality by uniformly convex functions
    Shoshana Abramovich
    [J]. Aequationes mathematicae, 2023, 97 : 75 - 88
  • [2] Refinements of Jensen's inequality of Mercer's type for operator convex functions
    Matkovic, A.
    Pecaric, J.
    Peric, I.
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (01): : 113 - 126
  • [3] Refinements of Jensen's Inequality for Convex Functions on the Co-Ordinates in a Rectangle from the Plane
    Khan, M. Adil
    Ali, T.
    Kilicman, A.
    Din, Q.
    [J]. FILOMAT, 2016, 30 (03) : 803 - 814
  • [4] Jensen-Mercer inequality for uniformly convex functions with some applications
    Yamin Sayyari
    Hasan Barsam
    [J]. Afrika Matematika, 2023, 34
  • [5] Jensen-Mercer inequality for uniformly convex functions with some applications
    Sayyari, Yamin
    Barsam, Hasan
    [J]. AFRIKA MATEMATIKA, 2023, 34 (03)
  • [6] On new refinement of the Jensen inequality using uniformly convex functions with applications
    Sayyari, Yamin
    Barsam, Hasan
    Sattarzadeh, Ali Reza
    [J]. APPLICABLE ANALYSIS, 2023, 102 (18) : 5215 - 5223
  • [7] REFINEMENTS OF FEJER'S INEQUALITY FOR CONVEX FUNCTIONS
    Tseng, Kuei-Lin
    Hwang, Shiow-Ru
    Dragomir, S. S.
    [J]. PERIODICA MATHEMATICA HUNGARICA, 2012, 65 (01) : 17 - 28
  • [8] On Jensen's inequality for operator convex functions
    Mond, B
    Pecaric, JE
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 1995, 21 (04): : 739 - 754
  • [9] Refinements of Fejér’s inequality for convex functions
    Kuei-Lin Tseng
    Shiow-Ru Hwang
    S. S. Dragomir
    [J]. Periodica Mathematica Hungarica, 2012, 65 : 17 - 28
  • [10] Around Jensen's inequality for strongly convex functions
    Moradi, Hamid Reza
    Omidvar, Mohsen Erfanian
    Khan, Muhammad Adil
    Nikodem, Kazimierz
    [J]. AEQUATIONES MATHEMATICAE, 2018, 92 (01) : 25 - 37
12345