Refinements of generalised Hermite-Hadamard inequality

被引：1
|
作者：
Ojo, Adefisayo [1 ]
Olanipekun, Peter Olamide [2 ]
机构：
[1] Washington State Univ, Dept Math, Pullman, WA USA
[2] Univ Auckland, Dept Math, Auckland 1010, New Zealand
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2023年 / 188卷
关键词：
Convex functions; Generalised Hermite-Hadamard inequality; Ratio bund; CONVEX-FUNCTIONS; CONCAVITY;
D O I：
10.1016/j.bulsci.2023.103316
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
New insights, improvements and refinements of the well known Hermite-Hadamard inequality are established for a general class of convex functions. Inequalities involving products of two harmonically phi(h-s) functions are also obtained.(c) 2023 The Author(s). Published by Elsevier Masson SAS. This is an open access article under the CCBY license (http://creativecommons.org/licenses/by/4.0/).
引用
收藏
页数：14
相关论文
共 50 条
  • [1] On the refinements of the Hermite-Hadamard inequality
    Sadia Khalid
    Josip Pečarić
    Journal of Inequalities and Applications, 2012
  • [2] On the refinements of the Hermite-Hadamard inequality
    Khalid, Sadia
    Pecaric, Josip
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [3] REFINEMENTS OF HERMITE-HADAMARD INEQUALITY ON SIMPLICES
    Mitroi, Flavia-Corina
    Spiridon, Catalin Irinel
    MATHEMATICAL REPORTS, 2013, 15 (01): : 69 - 78
  • [4] MAJORIZATION AND REFINEMENTS OF HERMITE-HADAMARD INEQUALITY
    Niezgoda, Marek
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (01): : 137 - 148
  • [5] Generalizations and refinements of Hermite-Hadamard's inequality
    Qi, F
    Wei, ZL
    Yang, Q
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (01) : 235 - 251
  • [6] New refinements of fractional Hermite-Hadamard inequality
    Awan, Muhammad Uzair
    Noor, Muhammad Aslam
    Du, Ting-Song
    Noor, Khalida Inayat
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (01) : 21 - 29
  • [7] SOME REFINEMENTS OF HERMITE-HADAMARD INEQUALITY AND AN OPEN PROBLEM
    Simic, Slavko
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2018, 42 (03): : 349 - 356
  • [8] Some Refinements of the Hermite-Hadamard Inequality with the Help of Weighted Integrals
    Bayraktar, B.
    Napoles, J. E.
    Rabossi, F.
    UKRAINIAN MATHEMATICAL JOURNAL, 2023, 75 (06) : 842 - 860
  • [9] Iterative Refinements of the Hermite-Hadamard Inequality, Applications to the Standard Means
    SeverS Dragomir
    Mustapha Raïssouli
    Journal of Inequalities and Applications, 2010
  • [10] Iterative Refinements of the Hermite-Hadamard Inequality, Applications to the Standard Means
    Dragomir, Sever S.
    Raissouli, Mustapha
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
12345