New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions

被引:0
|
作者
Xiaoli Qiang
Ghulam Farid
Muhammad Yussouf
Khuram Ali Khan
Atiq Ur Rahman
机构
[1] Guangzhou University,Institute of Computing Science and Technology
[2] COMSATS University Islamabad,Department of Mathematics
[3] Attock Campus,Department of Mathematics
[4] University of Sargodha,undefined
来源
Journal of Inequalities and Applications | / 2020卷
关键词
Harmonically convex function; Hadamard inequality; Fejér–Hadamard inequality; Mittag-Leffler function; Fractional integral operators;
D O I
暂无
中图分类号
学科分类号
摘要
The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions. Fractional integral operators involving an extended generalized Mittag-Leffler function which are further generalized via a monotone increasing function are utilized to get these generalized fractional versions. The results of this paper give several consequent fractional inequalities for harmonically convex functions for known fractional integral operators deducible from utilized generalized fractional integral operators.
引用
收藏
相关论文
共 50 条
  • [1] New generalized fractional versions of Hadamard and Fejer inequalities for harmonically convex functions
    Qiang, Xiaoli
    Farid, Ghulam
    Yussouf, Muhammad
    Khan, Khuram Ali
    Rahman, Atiq Ur
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [2] Hadamard and Fejér–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals
    Abbas G.
    Farid G.
    The Journal of Analysis, 2017, 25 (1) : 107 - 119
  • [3] Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions
    Shin Min Kang
    Ghulam Farid
    Waqas Nazeer
    Bushra Tariq
    Journal of Inequalities and Applications, 2018
  • [4] k-FRACTIONAL INTEGRAL INEQUALITIES OF HADAMARD TYPE FOR DIFFERENTIABLE HARMONICALLY CONVEX FUNCTIONS
    Hussain, Rashida
    Ali, Asghar
    Bashir, Yasmin
    Latif, Asia
    JOURNAL OF SCIENCE AND ARTS, 2020, (02) : 261 - 276
  • [5] Further generalizations of Hadamard and Fejér–Hadamard fractional inequalities and error estimates
    Yongsheng Rao
    Muhammad Yussouf
    Ghulam Farid
    Josip Pečarić
    Iskander Tlili
    Advances in Difference Equations, 2020
  • [6] GENERALIZED HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE HARMONICALLY-CONVEX AND HARMONICALLY QUASI-CONVEX FUNCTIONS
    Latif, Muhammad Amer
    Hussain, Sabir
    Chu, Yu-Ming
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (02): : 755 - 766
  • [7] Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
    Iscan, Imdat
    Wu, Shanhe
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 238 : 237 - 244
  • [8] Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities
    Ali, Rana Safdar
    Mukheimer, Aiman
    Abdeljawad, Thabet
    Mubeen, Shahid
    Ali, Sabila
    Rahman, Gauhar
    Nisar, Kottakkaran Sooppy
    FRACTAL AND FRACTIONAL, 2021, 5 (02)
  • [9] HERMITE-HADAMARD-TYPE INEQUALITIES INVOLVING SEVERAL KINDS OF FRACTIONAL CALCULUS FOR HARMONICALLY CONVEX FUNCTIONS
    Sun, Wenbing
    Wan, Haiyang
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (09)
  • [10] Hermite-Hadamard type inequalities for harmonically convex functions
    Iscan, Iindat
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2014, 43 (06): : 935 - 942