(p,h)-Convex Functions Associated with Hadamard and Fejer-Hadamard Inequalities via k-Fractional Integral Operators

被引：0
|
作者：
Zhang, Xiujun [1 ]
Farid, Ghulam [2 ]
Demirel, Ayse Kuebra [3 ]
Jung, Chahn Yong [4 ]
机构：
[1] Chengdu Univ, Sch Comp Sci, Chengdu, Peoples R China
[2] COMSATS Univ Islamabad, Attock Campus, Attock Campus, Islamabad, Pakistan
[3] Ordu Univ, Ordu, Turkey
[4] Gyeongsang Natl Univ, Dept Business Adm, Jinju 52828, South Korea
来源：
JOURNAL OF FUNCTION SPACES | 2022年 / 2022卷
关键词：
BOUNDS;
D O I：
10.1155/2022/3832330
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, generalized versions of the k-fractional Hadamard and Fejer-Hadamard inequalities are constructed. To obtain the generalized versions of these inequalities, k-fractional integral operators including the well-known Mittag-Leffler function are utilized. The class of (p,h)-convex functions for Hadamard-type inequalities give the generalizations of results which have been proved in literature for p-convex, h-convex, and several functions deducible from these two classes.
引用
收藏
页数：12
相关论文
共 50 条
  • [21] A Generalized Fejer-Hadamard Inequality for Harmonically Convex Functions via Generalized Fractional Integral Operator and Related Results
    Kang, Shin Min
    Abbas, Ghulam
    Farid, Ghulam
    Nazeer, Waqas
    MATHEMATICS, 2018, 6 (07):
  • [22] Further generalizations of Hadamard and Fejer-Hadamard fractional inequalities and error estimates
    Rao, Yongsheng
    Yussouf, Muhammad
    Farid, Ghulam
    Pecaric, Josip
    Tlili, Iskander
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [23] HADAMARD AND FEJER-HADAMARD TYPE INEQUALITIES FOR CONVEX AND RELATIVE CONVEX FUNCTIONS VIA AN EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION
    Farid, Ghulam
    Mishra, Vishnu Narayan
    Mehmood, Sajid
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2019, 17 (05): : 892 - 903
  • [24] Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals
    Naila Mehreen
    Matloob Anwar
    Journal of Inequalities and Applications, 2020
  • [25] Hadamard k-fractional inequalities of Fejer type for GA-s-convex mappings and applications
    Lei, Hui
    Hu, Gou
    Cao, Zhi-Jie
    Du, Ting-Song
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [26] Further on Inequalities for (α,h-m)-Convex Functions via k-Fractional Integral Operators
    Yan, Tao
    Farid, Ghulam
    Demirel, Ayse Kuebra
    Nonlaopon, Kamsing
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [27] Hermite-Hadamard type inequalities for the generalized k-fractional integral operators
    Set, Erhan
    Choi, Junesang
    Gozpinar, Abdurrahman
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [28] Hermite-Hadamard type inequalities for the generalized k-fractional integral operators
    Erhan Set
    Junesang Choi
    Abdurrahman Gözpinar
    Journal of Inequalities and Applications, 2017
  • [29] Some inequalities involving Hadamard-type k-fractional integral operators
    Agarwal, Praveen
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (11) : 3882 - 3891
  • [30] Hadamard and Fejer-Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions
    Yussouf, M.
    Farid, G.
    Khan, K. A.
    Jung, Chahn Yong
    JOURNAL OF MATHEMATICS, 2021, 2021
12345