New Hermite-Hadamard type inequalities on fractal set

被引:0
|
作者
Tunc, Tuba [1 ]
Budak, Huseyin [1 ]
Usta, Fuat [1 ]
Sarikaya, Mehmet Zeki [1 ]
机构
[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey
来源
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 01期
关键词
Hermite-Hadamard inequality; fractal set; h-convex function; INTEGRAL-INEQUALITIES;
D O I
10.22075/ijnaa.2018.12156.1611
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, we present the new Hermite-Hadamard type inequality for functions which are h-convex on fractal set R-alpha (0 < alpha <= 1) of real line numbers. Then we provide the special cases of the result using different type of convex mappings.
引用
收藏
页码:782 / 789
页数:8
相关论文
共 50 条
  • [41] New Hermite-Hadamard Type Inequalities for Exponentially GA and GG-Convex Functions
    Rashid, Saima
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Safdar, Farhat
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (02): : 15 - 28
  • [42] Some quantum estimates for Hermite-Hadamard inequalities
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Awan, Muhammad Uzair
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 251 : 675 - 679
  • [43] Some Hermite-Hadamard type inequalities for functions of generalized convex derivative
    Korus, P.
    ACTA MATHEMATICA HUNGARICA, 2021, 165 (2) : 463 - 473
  • [44] On New Fractional Version of Generalized Hermite-Hadamard Inequalities
    Hyder, Abd-Allah
    Almoneef, Areej A.
    Budak, Huseyin
    Barakat, Mohamed A.
    MATHEMATICS, 2022, 10 (18)
  • [45] QUANTUM HERMITE-HADAMARD TYPE INEQUALITIES AND RELATED INEQUALITIES FOR SUBADDITIVE FUNCTIONS
    Ali, Muhammad Aamir
    Sarikaya, Mehmet Zeki
    Budak, Huseyin
    Zhang, Zhiyue
    MISKOLC MATHEMATICAL NOTES, 2023, 24 (01) : 5 - 13
  • [46] Hermite-Hadamard type inequalities for multiplicatively p-convex functions
    Ozcan, Serap
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [47] New generalization of Hermite-Hadamard type inequalities via generalized fractional integrals
    Budak, Huseyin
    Ertugral, Fatma
    Sarikaya, Mehmet Zeki
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2020, 47 (02): : 369 - 386
  • [48] On Some New Extensions of Inequalities of Hermite-Hadamard Type for Generalized Fractional Integrals
    Budak, Huseyin
    Bilisik, Candan Can
    Sarikaya, Mehmet Zeki
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2022, 19 (02): : 65 - 79
  • [49] New fractional inequalities of Hermite-Hadamard type involving the incomplete gamma functions
    Mohammed, Pshtiwan Othman
    Abdeljawad, Thabet
    Baleanu, Dumitru
    Kashuri, Artion
    Hamasalh, Faraidun
    Agarwal, Praveen
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [50] Some new inequalities of Hermite-Hadamard type via Katugampola fractional integral
    Butt, Saad Ihsan
    Bayraktar, Bahtiyar
    Valdes, Juan E. Napoles
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2023, 55 (7-8): : 269 - 290