Chebyshev type inequalities via generalized fractional conformable integrals

被引:35
|
作者
Nisar, Kottakkaran Sooppy [1 ]
Rahman, Gauhar [2 ]
Mehrez, Khaled [3 ]
机构
[1] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawasir, Saudi Arabia
[2] Shaheed Benazir Bhutto Univ, Dept Math, Sheringal, Pakistan
[3] Univ Kairouan, Dept Math, Issat Kasserine, Kairouan, Tunisia
关键词
Fractional integral; Generalized fractional conformable integral; Inequalities; HADAMARD TYPE INEQUALITIES; GRUSS TYPE;
D O I
10.1186/s13660-019-2197-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Our aim in this present paper is to establish several Chebyshev type inequalities involving generalized fractional conformable integral operator recently introduced by T.U. Khan and M.A. Khan (J. Comput. Appl. Math. 346:378-389, 2019). Also, we present Chebyshev type inequalities involving Riemann-Liouville type fractional conformable integral operators as a particular result of our main result.
引用
收藏
页数:9
相关论文
共 50 条
  • [21] Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets
    Almutairi, Ohud
    Kilicman, Adem
    MATHEMATICS, 2020, 8 (01)
  • [22] Discussion of some inequalities via fractional integrals
    Kirane, Mokhtar
    Samet, Bessem
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [23] Discussion of some inequalities via fractional integrals
    Mokhtar Kirane
    Bessem Samet
    Journal of Inequalities and Applications, 2018
  • [24] On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals
    Rahman, Gauhar
    Nisar, Kottakkaran Sooppy
    Ghanbari, Behzad
    Abdeljawad, Thabet
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [25] Novel Ostrowski-Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes
    Almoneef, Areej A.
    Hyder, Abd-Allah
    Barakat, Mohamed A.
    Budak, Huseyin
    FRACTAL AND FRACTIONAL, 2024, 8 (09)
  • [26] New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals
    Hezenci, Fatih
    Budak, Huseyin
    EXPERIMENTAL MATHEMATICS, 2024,
  • [27] Inequalities for Fractional Integrals of a Generalized Class of Strongly Convex Functions
    Yan, Tao
    Farid, Ghulam
    Yasmeen, Hafsa
    Shim, Soo Hak
    Jung, Chahn Yong
    FRACTAL AND FRACTIONAL, 2022, 6 (03)
  • [28] Gruss type integral inequalities for generalized Riemann-Liouville k-fractional integrals
    Mubeen, Shahid
    Iqbal, Sana
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [29] Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
    Liu, Wenjun
    Wen, Wangshu
    Park, Jaekeun
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 766 - 777
  • [30] INEQUALITIES VIA HARMONIC CONVEX FUNCTIONS: CONFORMABLE FRACTIONAL CALCULUS APPROACH
    Awan, Muhammad Uzair
    Noor, Muhammad Aslam
    Mihai, Marcela V.
    Noor, Khalida Inayat
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (01): : 143 - 153