Hermite-Hadamard-type inequalities for generalized 3-convex functions

被引:0
|
作者
Bessenyei, M [1 ]
机构
[1] Univ Debrecen, Inst Math, H-4010 Debrecen, Hungary
来源
PUBLICATIONES MATHEMATICAE DEBRECEN | 2004年 / 65卷 / 1-2期
关键词
Hermite-Hadamard inequality; higher-order generalized convexity; Tchebychev system;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to present Hermite-Hadamard type inequalities for generalized 3-convex functions. A particular result for generalized 4-convex functions is also obtained.
引用
收藏
页码:223 / 232
页数:10
相关论文
共 50 条
  • [1] New Hermite-Hadamard-type inequalities for convex functions (II)
    Tseng, Kuei-Lin
    Hwang, Shiow-Ru
    Dragomir, Sever S.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (01) : 401 - 418
  • [2] New Hermite-Hadamard-type inequalities for convex functions (I)
    Tseng, Kuei-Lin
    Hwang, Shiow-Ru
    Dragomir, Sever S.
    [J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (06) : 1005 - 1009
  • [3] Hermite-Hadamard-Type Integral Inequalities for Convex Functions and Their Applications
    Srivastava, Hari M.
    Mehrez, Sana
    Sitnik, Sergei M.
    [J]. MATHEMATICS, 2022, 10 (17)
  • [4] Hermite-Hadamard-Type Inequalities for Product of Functions by Using Convex Functions
    Nawaz, Tariq
    Memon, M. Asif
    Jacob, Kavikumar
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
  • [5] Hermite-Hadamard-type inequalities for generalized trigonometrically and hyperbolic ρ-convex functions in two dimension
    Dragomir, Silvestru Sever
    Jleli, Mohamed
    Samet, Bessem
    [J]. OPEN MATHEMATICS, 2024, 22 (01):
  • [6] Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
    Han, Jiangfeng
    Mohammed, Pshtiwan Othman
    Zeng, Huidan
    [J]. OPEN MATHEMATICS, 2020, 18 : 794 - 806
  • [7] Hermite-Hadamard-type inequalities for (g, φh)- convex dominated functions
    Ozdemir, Muhamet Emin
    Gurbuz, Mustafa
    Kavurmaci, Havva
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [8] Hermite-Hadamard-type inequalities for (g,φh)-convex dominated functions
    Muhamet Emin Özdemir
    Mustafa Gürbüz
    Havva Kavurmacı
    [J]. Journal of Inequalities and Applications, 2013 (1)
  • [9] Hermite-Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified h-Convex Functions
    Yu, Xishan
    Saleem, Muhammad Shoaib
    Waheed, Shumaila
    Khan, Ilyas
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
  • [10] Several Quantum Hermite-Hadamard-Type Integral Inequalities for Convex Functions
    Ciurdariu, Loredana
    Grecu, Eugenia
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (06)