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
  • [21] THE JENSEN AND HERMITE-HADAMARD INEQUALITY ON THE TRIANGLE
    Pavic, Zlatko
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (04): : 1099 - 1112
  • [22] Hermite-Hadamard inequality for preinvex functions
    Iqbal, Akhlad
    Saleh, Khairul
    Ahmad, Izhar
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (50): : 294 - 302
  • [23] Hermite-Hadamard inequality on time scales
    Dinu, Cristian
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
  • [24] On a certain stability of the Hermite-Hadamard inequality
    Hazy, Attila
    Pales, Zsolt
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2009, 465 (2102): : 571 - 583
  • [25] The Hermite-Hadamard Inequality in Higher Dimensions
    Steinerberger, Stefan
    JOURNAL OF GEOMETRIC ANALYSIS, 2020, 30 (01) : 466 - 483
  • [26] EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITY WITH APPLICATIONS
    Bakula, M. Klaricic
    Pecaric, J.
    Peric, J.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (04): : 899 - 921
  • [27] Hermite-Hadamard Inequality on Time Scales
    Cristian Dinu
    Journal of Inequalities and Applications, 2008
  • [28] New versions of the Hermite-Hadamard inequality for (φ-h)-integrals
    Akbar, Saira Bano
    Abbas, Mujahid
    Nazeer, Waqas
    Budak, Hueseyin
    BOUNDARY VALUE PROBLEMS, 2024, 2024 (01):
  • [29] Refining Hermite-Hadamard integral inequality by two parameters
    Feng, Yuming
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2018, 21 (03) : 743 - 746
  • [30] A Weighted Hermite Hadamard Inequality for Steffensen-Popoviciu and Hermite-Hadamard Weights on Time Scales
    Dinu, Cristian
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2009, 17 (01): : 77 - 90