SUGENO INTEGRAL FOR HERMITE-HADAMARD INEQUALITY AND QUASI-ARITHMETIC MEANS

被引:0
|
作者
Nadhomi, Timothy [1 ]
机构
[1] Univ Silesiaia Katowice, Inst Math, Bankowa 14, PL-40007 Katowice, Poland
关键词
Hermite-Hadamard inequality; quasi-arithmetic mean; Sugeno integral;
D O I
10.2478/amsil-2023-0007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present the Sugeno integral of Hermite-Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.
引用
收藏
页码:294 / 305
页数:12
相关论文
共 50 条
  • [21] Iterative Refinements of the Hermite-Hadamard Inequality, Applications to the Standard Means
    Dragomir, Sever S.
    Raissouli, Mustapha
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [22] On a new weighted Hermite-Hadamard inequality, application for weighted means
    Raissouli, Mustapha
    Chergui, Mohamed
    Tarik, Lahcen
    FILOMAT, 2024, 38 (16) : 5895 - 5904
  • [23] Commutativity of integral quasi-arithmetic means on measure spaces
    Glazowska, D.
    Leonetti, P.
    Matkowski, J.
    Tringali, S.
    ACTA MATHEMATICA HUNGARICA, 2017, 153 (02) : 350 - 355
  • [24] Commutativity of integral quasi-arithmetic means on measure spaces
    D. Głazowska
    P. Leonetti
    J. Matkowski
    S. Tringali
    Acta Mathematica Hungarica, 2017, 153 : 350 - 355
  • [25] HERMITE-HADAMARD (HH) INTEGRAL INEQUALITY FOR m-CONVEX FUNCTIONS
    Asadi, Mehdi
    Amirbostaghi, Gholamhossein
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (08) : 1537 - 1544
  • [26] THE JENSEN AND HERMITE-HADAMARD INEQUALITY ON THE TRIANGLE
    Pavic, Zlatko
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (04): : 1099 - 1112
  • [27] On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Several Functions
    Sroysang, Banyat
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
  • [28] A Comprehensive Review of the Hermite-Hadamard Inequality Pertaining to Fractional Integral Operators
    Tariq, Muhammad
    Ntouyas, Sotiris K.
    Shaikh, Asif Ali
    MATHEMATICS, 2023, 11 (08)
  • [29] REFINEMENTS OF HERMITE-HADAMARD INEQUALITY ON SIMPLICES
    Mitroi, Flavia-Corina
    Spiridon, Catalin Irinel
    MATHEMATICAL REPORTS, 2013, 15 (01): : 69 - 78
  • [30] Hermite-Hadamard inequality for fuzzy integrals
    Caballero, J.
    Sadarangani, K.
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (06) : 2134 - 2138