A NOTE ON THE HERMITE-HADAMARD INEQUALITY

被引：22
|
作者：
Gao, Xiang [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2010年 / 4卷 / 04期
关键词：
Convex functions; Hermite-Hadamard inequality; Jensen's inequality;
D O I：
10.7153/jmi-04-52
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we give a new generalization of the well-known Hermite-Hadamard inequality
引用
收藏
页码：587 / 591
页数：5
相关论文
共 50 条
  • [21] The stability problem of the Hermite-Hadamard inequality
    Nikodem, Kazimierz
    Riedel, Thomas
    Sahoo, Prasanna K.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2007, 10 (02): : 359 - 363
  • [22] ON WEIGHTED GENERALIZATION OF THE HERMITE-HADAMARD INEQUALITY
    Jaksic, Rozarija
    Kvesic, Ljiljanka
    Pecaric, Josip
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02): : 649 - 665
  • [23] The Hermite-Hadamard Inequality in Higher Dimensions
    Steinerberger, Stefan
    JOURNAL OF GEOMETRIC ANALYSIS, 2020, 30 (01) : 466 - 483
  • [24] New extensions of the Hermite-Hadamard inequality
    Guzman, Paulo M.
    Valdes, Juan E. Naples
    Stojiljkovic, Vuk
    CONTRIBUTIONS TO MATHEMATICS, 2023, 7 : 60 - 66
  • [25] A Sharp Multidimensional Hermite-Hadamard Inequality
    Larson, Simon
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (02) : 1297 - 1312
  • [26] The converse of the Hermite-Hadamard inequality on simplices
    Mitroi, Flavia-Corina
    Symeonidis, Eleutherius
    EXPOSITIONES MATHEMATICAE, 2012, 30 (04) : 389 - 396
  • [27] EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITY WITH APPLICATIONS
    Bakula, M. Klaricic
    Pecaric, J.
    Peric, J.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (04): : 899 - 921
  • [28] HERMITE-HADAMARD INEQUALITY FOR A FRUSTUM OF A SIMPLEX
    Nowicka, Monika
    Witkowski, Alfred
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (04): : 1319 - 1325
  • [29] MAJORIZATION AND REFINEMENTS OF HERMITE-HADAMARD INEQUALITY
    Niezgoda, Marek
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (01): : 137 - 148
  • [30] Hermite-Hadamard Inequality on Time Scales
    Cristian Dinu
    Journal of Inequalities and Applications, 2008
12345