SOME INTEGRAL INEQUALITIES THROUGH TEMPERED FRACTIONAL INTEGRAL OPERATOR

被引：0
|
作者：
Gul, Erdal [1 ]
Yalcin, Abdullatif [1 ]
机构：
[1] Yildiz Tech Univ, Fac Arts & Sci, Dept Math, Istanbul, Turkiye
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2024年 / 73卷 / 02期
关键词：
Hermite-Hadamard type inequalities; Minkowski inequality; convex and concave functions; Riemann-Liouville integrals; tempered fractional integral;
D O I：
10.31801/cfsuasmas.1387622
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we adopt the tempered fractional integral operators to develop some novel Minkowski and Hermite-Hadamard type integral inequalities. Thus, we give several special cases of the integral inequalities for tempered fractional integrals obtained in the earlier works.
引用
收藏
页码：399 / 409
页数：11
相关论文
共 50 条
  • [1] Some fractional integral inequalities for the Katugampola integral operator
    Dubey, Ravi Shanker
    Goswami, Pranay
    AIMS MATHEMATICS, 2019, 4 (02): : 193 - 198
  • [2] Some New Fractional Integral Inequalities Pertaining to Generalized Fractional Integral Operator
    Alsalami, Omar Mutab
    Sahoo, Soubhagya Kumar
    Tariq, Muhammad
    Shaikh, Asif Ali
    Cesarano, Clemente
    Nonlaopon, Kamsing
    SYMMETRY-BASEL, 2022, 14 (08):
  • [3] On Some Fractional Integral Inequalities Involving Caputo-Fabrizio Integral Operator
    Chinchane, Vaijanath L.
    Nale, Asha B.
    Panchal, Satish K.
    Chesneau, Christophe
    AXIOMS, 2021, 10 (04)
  • [4] Some Integral Inequalities Involving a Fractional Integral Operator with Extended Hypergeometric Function
    Yadav, Anil Kumar
    Pandey, Rupakshi Mishra
    Mishra, Vishnu Narayan
    Agarwal, Ritu
    DOLOMITES RESEARCH NOTES ON APPROXIMATION, 2025, 18
  • [5] Some integral inequalities involving q-h fractional integral operator
    Abbas, Akhtar
    Fiyaz, Fazila
    Mubeen, Shahid
    Khan, Aziz
    Abdeljawad, Thabet
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2025, 38 (04): : 535 - 545
  • [6] Nonlinear Integral Inequalities Involving Tempered ?-Hilfer Fractional Integral and Fractional Equations with Tempered ?-Caputo Fractional Derivative
    Medved', Milan
    Pospisil, Michal
    Brestovanska, Eva
    FRACTAL AND FRACTIONAL, 2023, 7 (08)
  • [7] Tempered Fractional Integral Inequalities for Convex Functions
    Rahman, Gauhar
    Nisar, Kottakkaran Sooppy
    Abdeljawad, Thabet
    MATHEMATICS, 2020, 8 (04)
  • [8] Further Integral Inequalities through Some Generalized Fractional Integral Operators
    Hyder, Abd-Allah
    Barakat, Mohamed A.
    Fathallah, Ashraf
    Cesarano, Clemente
    FRACTAL AND FRACTIONAL, 2021, 5 (04)
  • [9] Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator
    Asifa Tassaddiq
    Aftab Khan
    Gauhar Rahman
    Kottakkaran Sooppy Nisar
    Moheb Saad Abouzaid
    Ilyas Khan
    Journal of Inequalities and Applications, 2020
  • [10] Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators
    Paul, Supriya Kumar
    Mishra, Lakshmi Narayan
    Mishra, Vishnu Narayan
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2024, 29 (06): : 1080 - 1105
12345