Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals

被引：6
|
作者：
Sun, Wenbing [1 ]
Xu, Rui [1 ]
机构：
[1] Shaoyang Univ, Sch Sci, Shaoyang 422000, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 10期
关键词：
Hermite-Hadamard type inequality; generalized harmonically convex function; Yang's fractal sets; local fractional integral;
D O I：
10.3934/math.2021620
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new generalized Hermite-Hadamard type inequalities whose function is monotonically increasing and generalized harmonically convex are obtained. Finally, we construct some generalized special means to explain the applications of these inequalities.
引用
收藏
页码：10679 / 10695
页数：17
相关论文
共 50 条
  • [1] Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
    Iscan, Imdat
    Wu, Shanhe
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 238 : 237 - 244
  • [2] Extensions of Hermite-Hadamard inequalities for harmonically convex functions via generalized fractional integrals
    You, Xue-Xiao
    Ali, Muhammad Aamir
    Budak, Huseyin
    Agarwal, Praveen
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [3] Generalized fractional integral inequalities of Hermite-Hadamard type for harmonically convex functions
    Zhao, Dafang
    Ali, Muhammad Aamir
    Kashuri, Artion
    Budak, Huseyin
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [4] HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS
    Mumcu, Ilker
    Set, Erhan
    Akdemir, Ahmet Ocak
    MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 409 - 424
  • [5] Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions
    Kara, Hasan
    Erden, Samet
    Budak, Huseyin
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2023, 20 (02): : 85 - 107
  • [6] Hermite-Hadamard type inequalities for F-convex functions involving generalized fractional integrals
    Budak, Huseyin
    Ali, Muhammad Aamir
    Kashuri, Artion
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2022, 67 (01): : 151 - 166
  • [7] Some δ-Tempered Fractional Hermite-Hadamard Inequalities Involving Harmonically Convex Functions and Applications
    Akhtar, Nousheen
    Awan, Muhammad Uzair
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [8] Hermite-Hadamard type inequalities for harmonically convex functions
    Iscan, Iindat
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2014, 43 (06): : 935 - 942
  • [9] On some Hermite-Hadamard type inequalities for tgs-convex functions via generalized fractional integrals
    Mehreen, Naila
    Anwar, Matloob
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01):
  • [10] Hermite-Hadamard type inequalities for a new class of harmonically convex functions
    Olanipekun, Peter Olamide
    Mogbademu, Adesanmi A.
    Dragomir, Sever Silvestru
    NOTE DI MATEMATICA, 2018, 38 (01): : 23 - 33
12345