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
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
  • [41] Some New Weakly Singular Integral Inequalities with Applications to Differential Equations in Frame of Tempered χ-Fractional Derivatives
    Kahouli, Omar
    Boucenna, Djalal
    Ben Makhlouf, Abdellatif
    Alruwaily, Ymnah
    MATHEMATICS, 2022, 10 (20)
  • [42] Some Fractional Integral Inequalities by Way of Raina Fractional Integrals
    Vivas-Cortez, Miguel
    Latif, Asia
    Hussain, Rashida
    SYMMETRY-BASEL, 2023, 15 (10):
  • [43] On the generalized Gronwall inequalities involving ψ-fractional integral operator with applications
    Wang, Qi
    Zhu, Shumin
    AIMS MATHEMATICS, 2022, 7 (11): : 20370 - 20380
  • [44] Maximal functions and the control of weighted inequalities for the fractional integral operator
    Carro, MJ
    Pérez, C
    Soria, F
    Soria, J
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2005, 54 (03) : 627 - 644
  • [45] ON THE HERMITE-HADAMARD TYPE INEQUALITIES FOR FRACTIONAL INTEGRAL OPERATOR
    Yaldiz, H.
    Sarikaya, M. Z.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2020, 44 (03): : 369 - 378
  • [46] Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus
    Kwun, Young Chel
    Farid, Ghulam
    Ullah, Saleem
    Nazeer, Waqas
    Mahreen, Kahkashan
    Kang, Shin Min
    IEEE ACCESS, 2019, 7 : 126283 - 126292
  • [47] INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR
    Gurbuz, M.
    Ozturk, O.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (01): : 91 - 100
  • [48] INTEGRAL MEAN ESTIMATES FOR SOME OPERATOR PRESERVING INEQUALITIES
    Malik, Shabir Ahmad
    KOREAN JOURNAL OF MATHEMATICS, 2024, 32 (03): : 497 - 506
  • [49] SOME GENERAL INTEGRAL INEQUALITIES FOR LIPSCHITZIAN FUNCTIONS VIA CONFORMABLE FRACTIONAL INTEGRAL
    Iscan, Imdat
    Turhan, Sercan
    Numan, Selim
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2020, 69 (01): : 952 - 968
  • [50] Some fractional integral inequalities of type Hermite-Hadamard through convexity
    Qaisar, Shahid
    Nasir, Jamshed
    Butt, Saad Ihsan
    Asma, Asma
    Ahmad, Farooq
    Iqbal, Muhammad
    Hussain, Sajjad
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)