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
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
  • [1] Improvements of the Hermite-Hadamard inequality for the simplex
    Pavic, Zlatko
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [2] Improvements of the Hermite-Hadamard inequality for the simplex
    Zlatko Pavić
    Journal of Inequalities and Applications, 2017
  • [3] REFINING RECURSIVELY THE HERMITE-HADAMARD INEQUALITY ON A SIMPLEX
    Raissouli, Mustapha
    Dragomir, Sever S.
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2015, 92 (01) : 57 - 67
  • [4] APPLICATIONS OF THE HERMITE-HADAMARD INEQUALITY
    Nowicka, Monika
    Witkowski, Alfred
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (04): : 1319 - 1334
  • [5] Improvements of the Hermite-Hadamard inequality
    Zlatko Pavić
    Journal of Inequalities and Applications, 2015
  • [6] On the Operator Hermite-Hadamard Inequality
    Moradi, Hamid Reza
    Sababheh, Mohammad
    Furuichi, Shigeru
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2021, 15 (08)
  • [7] On the refinements of the Hermite-Hadamard inequality
    Sadia Khalid
    Josip Pečarić
    Journal of Inequalities and Applications, 2012
  • [8] An extension of the Hermite-Hadamard inequality
    Retkes, Zoltan
    ACTA SCIENTIARUM MATHEMATICARUM, 2008, 74 (1-2): : 95 - 106
  • [9] On the refinements of the Hermite-Hadamard inequality
    Khalid, Sadia
    Pecaric, Josip
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [10] The Hermite-Hadamard inequality on simplices
    Bessenyei, Mihaly
    AMERICAN MATHEMATICAL MONTHLY, 2008, 115 (04): : 339 - 345