Certain Grüss-type inequalities via tempered fractional integrals concerning another function

被引：0
作者：
Gauhar Rahman
Kottakkaran Sooppy Nisar
Saima Rashid
Thabet Abdeljawad
机构：
[1] Shaheed Benazir Bhutto University,Department of Mathematics
[2] Prince Sattam bin Abdulaziz University,Department of Mathematics, College of Arts and Sciences
[3] Government College University,Department of Mathematics
[4] Prince Sultan University,Department of Mathematics and General Sciences
[5] China Medical University,Department of Medical Research
[6] Asia University,Department of Computer Science and Information Engineering
来源：
Journal of Inequalities and Applications | / 2020卷
关键词：
Fractional integrals; Generalized tempered fractional integrals; Inequalities; 26A33; 26D10; 26D53; 05A30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study a generalized left sided tempered fractional (GTF)-integral concerning another function Ψ in the kernel. Then we investigate several kinds of inequalities such as Grüss-type and certain other related inequalities by utilizing the GTF-integral. Additionally, we present various special cases of the main result. By utilizing the connection between GTF-integral and Riemann–Liouville integral concerning another function Ψ in the kernel, certain distinct particular cases of the main result are also presented. Furthermore, certain other inequalities can be formed by applying various kinds of conditions on the function Ψ.
引用
收藏
相关论文
共 32 条
  • [21] Some New Inequalities of Simpson's Type for s-convex Functions via Fractional Integrals
    Chen, Jianhua
    Huang, Xianjiu
    FILOMAT, 2017, 31 (15) : 4989 - 4997
  • [22] Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals
    Mehmet Kunt
    İmdat İşcan
    Iranian Journal of Science and Technology, Transactions A: Science, 2018, 42 : 2079 - 2089
  • [23] Ostrowski-type fractional integral inequalities for mappings whose derivatives are h-convex via Katugampola fractional integrals
    Farid, Ghulam
    Katugampola, Udita N.
    Usman, Muhammad
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2018, 63 (04): : 465 - 474
  • [24] Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals
    Nidhi Sharma
    Sanjeev Kumar Singh
    Shashi Kant Mishra
    Abdelouahed Hamdi
    Journal of Inequalities and Applications, 2021
  • [25] NEW BOUNDS FOR HERMITE-HADAMARD'S TRAPEZOID AND MID-POINT TYPE INEQUALITIES VIA FRACTIONAL INTEGRALS
    Delavar, M. Rostamian
    MISKOLC MATHEMATICAL NOTES, 2019, 20 (02) : 849 - 861
  • [26] Hermite-Hadamard-type inequalities for the interval-valued approximatelyh-convex functions via generalized fractional integrals
    Zhao, Dafang
    Ali, Muhammad Aamir
    Kashuri, Artion
    Budak, Huseyin
    Sarikaya, Mehmet Zeki
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [27] Hermite-Hadamard-type inequalities for interval-valued preinvex functions via Riemann-Liouville fractional integrals
    Sharma, Nidhi
    Singh, Sanjeev Kumar
    Mishra, Shashi Kant
    Hamdi, Abdelouahed
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [28] The Gruss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function
    Shao, Yabin
    Rahman, Gauhar
    Elmasry, Yasser
    Samraiz, Muhammad
    Kashuri, Artion
    Nonlaopon, Kamsing
    FRACTAL AND FRACTIONAL, 2022, 6 (10)
  • [29] Hermite–Hadamard-type inequalities for the interval-valued approximately h-convex functions via generalized fractional integrals
    Dafang Zhao
    Muhammad Aamir Ali
    Artion Kashuri
    Hüseyin Budak
    Mehmet Zeki Sarikaya
    Journal of Inequalities and Applications, 2020
  • [30] Certain midpoint-type Feje acute accent r and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel
    Botmart, Thongchai
    Sahoo, Soubhagya Kumar
    Kodamasingh, Bibhakar
    Latif, Muhammad Amer
    Jarad, Fahd
    Kashuri, Artion
    AIMS MATHEMATICS, 2023, 8 (03): : 5616 - 5638
1234