Hermite-Hadamard inequality for fuzzy integrals

被引:23
作者
Caballero, J. [1 ]
Sadarangani, K. [1 ]
机构
[1] Univ Las Palmas Gran Canaria, Dept Matemat, Las Palmas Gran Canaria 35017, Spain
关键词
Hermite-Hadamard inequality; Sugeno integral; Convex function; CONTINUITY;
D O I
10.1016/j.amc.2009.08.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we prove a Hermite-Hadamard type inequality for fuzzy integrals. Some examples are given to illustrate the results. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:2134 / 2138
页数:5
相关论文
共 50 条
  • [31] Refining Hermite-Hadamard integral inequality by two parameters
    Feng, Yuming
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2018, 21 (03) : 743 - 746
  • [32] 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
  • [33] An extension of the Hermite-Hadamard inequality for a power of a convex function
    Sayyari, Yamin
    Dehghanian, Mehdi
    Park, Choonkil
    Paokanta, Siriluk
    OPEN MATHEMATICS, 2023, 21 (01):
  • [34] On (h, g; m)-Convexity and the Hermite-Hadamard Inequality
    Andric, Maja
    Pecaric, Josip
    JOURNAL OF CONVEX ANALYSIS, 2022, 29 (01) : 257 - 268
  • [35] ON THE HERMITE-HADAMARD INEQUALITY FOR CONVEX FUNCTIONS OF TWO VARIABLES
    Lyu, Shu-Lin
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2014, 4 (01): : 1 - 8
  • [36] ON THE WEIGHTED GENERALIZATION OF THE HERMITE-HADAMARD INEQUALITY AND ITS APPLICATIONS
    Wu, Shanhe
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2009, 39 (05) : 1741 - 1749
  • [37] THE EQUIVALENCE OF CHEBYSHEV'S INEQUALITY TO THE HERMITE-HADAMARD INEQUALITY
    Niculescu, Constantin P.
    Pecaric, Josip
    MATHEMATICAL REPORTS, 2010, 12 (02): : 145 - 156
  • [38] Hermite-Hadamard inequalities for Riemann-Liouville fractional integrals
    Ali, Muhammad Aamir
    Korus, Peter
    Valdes, Juan E. Napoles
    MATHEMATICA SLOVACA, 2024, 74 (05) : 1173 - 1180
  • [39] On New Extensions of Hermite-Hadamard Inequalities for Generalized Fractional Integrals
    Budak, Huseyin
    Pehlivan, Ebru
    Kosem, Pinar
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2021, 18 (01): : 73 - 88
  • [40] On Hermite-Hadamard type inequalities via generalized fractional integrals
    Jleli, Mohamed
    O'Regan, Donal
    Samet, Bessem
    TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (06) : 1221 - 1230