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] Some Opial Type Inequalities for Conformable Fractional Integrals
    Sarikaya, Mehmet Zeki
    Can Bilisik, Candan
    1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018), 2018, 1991
  • [22] Hermite–Hadamard type inequalities for conformable fractional integrals
    M. Adil Khan
    T. Ali
    S. S. Dragomir
    M. Z. Sarikaya
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018, 112 : 1033 - 1048
  • [23] Some Generalized Hadamard–Type Inequalities via Fractional Integrals
    B. Bayraktar
    A. Kh. Attaev
    V. Ch. Kudaev
    Russian Mathematics, 2021, 65 : 1 - 14
  • [24] Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya?Szeg? inequality with applications
    Set, Erhan
    Kashuri, Artion
    Mumcu, Ilker
    CHAOS SOLITONS & FRACTALS, 2021, 146
  • [25] A study on Hermite-Hadamard-type inequalities via new fractional conformable integrals
    Set, Erhan
    Gozpinar, Abdurrahman
    Butt, Saad Ihsan
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (02)
  • [26] Advancements in corrected Euler-Maclaurin-type inequalities via conformable fractional integrals
    Acar, Yaren
    Budak, Huseyin
    Bas, Umut
    Hezenci, Fatih
    Yildirim, Huseyin
    BOUNDARY VALUE PROBLEMS, 2025, 2025 (01):
  • [27] On Polya-Szego Type Inequalities via K-Fractional Conformable Integrals
    Rashid, Saima
    Jarad, Fahd
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Safdar, Farhat
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (05): : 63 - 76
  • [28] Hermite-Hadamard-Fejer inequalities for generalized conformable fractional integrals
    Mehmood, Sikander
    Zafar, Fiza
    Yasmin, Nusrat
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (05) : 3746 - 3758
  • [29] Some Leindler-type inequalities on conformable fractional integrals
    Saker, S. H.
    Ashry, G. M.
    Kenawy, M. R.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2024, 32 (03): : 201 - 212
  • [30] On weighted Iyengar-type inequalities for conformable fractional integrals
    Mehmet Zeki Sarikaya
    Hatice Yaldiz
    Hüseyin Budak
    Mathematical Sciences, 2017, 11 : 327 - 331