On a weighted Hermite-Hadamard inequality in operator variables with applications for weighted operator means

被引:0
|
作者
Raissouli, Mustapha [1 ]
Tarik, Lahcen [2 ]
Chergui, Mohamed [3 ]
机构
[1] Moulay Ismail Univ, Fac Sci, Dept Math, Meknes, Morocco
[2] Ibn Tofail Univ, Sci Fac, LAGA Lab, Kenitra, Morocco
[3] CRMEF Rabat Sale Kenitra, EREAM Team, Dept Math, LaREAMI Lab, Kenitra, Morocco
关键词
Weighted Hermite-Hadamard inequalities; operator inequalities; operator means;
D O I
10.2298/FIL2417971R
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper investigates a new weighted version of the standard Hermite-Hadamard inequalities for operator convex functions and highlights certain related properties. As an application, new weighted operator means have been pointed out and some refinements to several operator mean inequalities have been discussed.
引用
收藏
页码:5971 / 5982
页数:12
相关论文
共 50 条
  • [31] Hermite-Hadamard's type inequalities for operator convex functions
    Dragomir, S. S.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) : 766 - 772
  • [32] On the refinements of the Hermite-Hadamard inequality
    Sadia Khalid
    Josip Pečarić
    Journal of Inequalities and Applications, 2012
  • [33] An extension of the Hermite-Hadamard inequality
    Retkes, Zoltan
    ACTA SCIENTIARUM MATHEMATICARUM, 2008, 74 (1-2): : 95 - 106
  • [34] On the refinements of the Hermite-Hadamard inequality
    Khalid, Sadia
    Pecaric, Josip
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [35] The Hermite-Hadamard inequality on simplices
    Bessenyei, Mihaly
    AMERICAN MATHEMATICAL MONTHLY, 2008, 115 (04): : 339 - 345
  • [36] More on the Hermite-Hadamard inequality
    Amlashi, Mehdi Eghbali
    Hassani, Mahmoud
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 2153 - 2159
  • [37] Improvements of the Hermite-Hadamard inequality
    Pavic, Zlatko
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [38] A NOTE ON THE HERMITE-HADAMARD INEQUALITY
    Gao, Xiang
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2010, 4 (04): : 587 - 591
  • [39] Weighted Hermite-Hadamard and Simpson Type Inequalities for Double Integrals
    Budak, H.
    Ertugral, F.
    Sarikaya, M. Zeki
    JOURNAL OF MATHEMATICAL EXTENSION, 2021, 15 (01) : 149 - 177
  • [40] On a Generalization of the Hermite-Hadamard Inequality and Applications in Convex Geometry
    Gonzalez Merino, Bernardo
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (05)