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
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期
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
  • [41] HERMITE-HADAMARD-FEJER TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS
    Set, Erhan
    Mumcu, Ilker
    MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 475 - 488
  • [42] REMARKS ON INEQUALITIES WITH PARAMETER BY CONFORMABLE FRACTIONAL INTEGRALS
    Hezenci, Fatih
    Vivas-cortez, Miguel
    Budak, Huseyin
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024,
  • [43] FRACTIONAL HARDY TYPE INEQUALITIES VIA CONFORMABLE CALCULUS
    Saker, S. H.
    O'Regan, D.
    Kenawy, M. R.
    Agarwal, R. P.
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2018, 73 : 131 - 140
  • [44] Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators
    Rahman, Gauhar
    Ullah, Zafar
    Khan, Aftab
    Set, Erhan
    Nisar, Kottakkaran Sooppy
    MATHEMATICS, 2019, 7 (04):
  • [45] ON INEQUALITIES OF SIMPSON?S TYPE FOR CONVEX FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS
    Kara, Hasan
    Budak, Huseyin
    Ali, Muhammad Aamir
    Hezenci, Fatih
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2022, 71 (03): : 806 - 825
  • [46] New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals
    Rashid, Saima
    Akdemir, Ahmet Ocak
    Nisar, Kottakkaran Sooppy
    Abdeljawad, Thabet
    Rahman, Gauhar
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [47] New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals
    Saima Rashid
    Ahmet Ocak Akdemir
    Kottakkaran Sooppy Nisar
    Thabet Abdeljawad
    Gauhar Rahman
    Journal of Inequalities and Applications, 2020
  • [48] Gruss-type integrals inequalities via generalized proportional fractional operators
    Rashid, Saima
    Jarad, Fahd
    Noor, Muhammad Aslam
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (02)
  • [49] OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS OF TWO VARIABLES VIA GENERALIZED FRACTIONAL INTEGRALS
    Ozcelik, Kubilay
    Budak, Huseyin
    Sarikaya, Mehmet Zeki
    Kashuri, Artion
    MISKOLC MATHEMATICAL NOTES, 2023, 24 (01) : 343 - 357
  • [50] Some Hermite-Hadamard Type Inequalities For Convex Functions Via New Fractional Conformable Integrals And Related Inequalities
    Gozpinar, Abdurrahman
    1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018), 2018, 1991
12345