HERMITE-HADAMARD INEQUALITY FOR A FRUSTUM OF A SIMPLEX

被引：0
|
作者：
Nowicka, Monika [1 ]
Witkowski, Alfred [1 ]
机构：
[1] UTP Univ Sci & Technol, Inst Math & Phys, Al Prof Kaliskiego 7, PL-85796 Bydgoszcz, Poland
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2019年 / 22卷 / 04期
关键词：
Hermite-Hadamard inequality; convex function; simplex; frustum;
D O I：
10.7153/mia-2019-22-90
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish a refinement of the Hermite-Hadamard inequality for convex functions of several variables defined on a frustum of a simplex.
引用
收藏
页码：1319 / 1325
页数：7
相关论文
共 50 条
  • [41] On Hermite-Hadamard inequality for -convex stochastic processes
    Li, Libo
    Hao, Zhiwei
    AEQUATIONES MATHEMATICAE, 2017, 91 (05) : 909 - 920
  • [42] The Hermite-Hadamard inequality in Beckenbach's setting
    Bessenyei, Mihaly
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 364 (02) : 366 - 383
  • [43] Some generalizations of the Hermite-Hadamard integral inequality
    Simic, Slavko
    Bin-Mohsin, Bandar
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [44] A CRITERION FOR THE CONVERSE OF THE HERMITE-HADAMARD INEQUALITY ON SIMPLICES
    Symeonidis, Eleutherius
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (04): : 1327 - 1333
  • [45] Some Improvements of the Hermite-Hadamard Integral Inequality
    Simic, Slavko
    Bin-Mohsin, Bandar
    SYMMETRY-BASEL, 2020, 12 (01):
  • [46] Concerning the generalized Hermite-Hadamard integral inequality
    Galeano Delgado, Juan Gabriel
    Napoles Valdes, Juan Eduardo
    Perez Reyes, Edgardo
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2023, 41 (02): : 226 - 231
  • [47] FURTHER IMPROVEMENTS OF HERMITE-HADAMARD INTEGRAL INEQUALITY
    Simic, Slavko
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2019, 43 (02): : 259 - 265
  • [48] IMPROVEMENTS OF THE WEIGHTED HERMITE-HADAMARD INEQUALITY AND APPLICATIONS TO MEAN INEQUALITY
    Furuichi, Shigeru
    Minculete, Nicusor
    Moradi, Hamid Reza
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (02): : 779 - 797
  • [49] Quantum Hermite-Hadamard inequality by means of a Green function
    Khan, Muhammad
    Mohammad, Noor
    Nwaeze, Eze R.
    Chu, Yu-Ming
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [50] AN EXTENSION OF THE HERMITE-HADAMARD INEQUALITY FOR CONVEX SYMMETRIZED FUNCTIONS
    El Farissi, Abdallah
    Benbachir, Maamar
    Dahmane, Meriem
    REAL ANALYSIS EXCHANGE, 2012, 38 (02) : 467 - 474
12345