Some novel estimations of hadamard type inequalities for di ff erent kinds of convex functions via tempered fractional integral operator

被引:0
|
作者
Gul, Erdal [1 ]
Yalcin, Abdullatif [2 ]
机构
[1] Yildiz Tech Univ, Fac Arts & Sci, Dept Math, Istanbul, Turkiye
[2] Yildiz Tech Univ, Grad Sch Appl & Nat Sci, Dept Math, Istanbul, Turkiye
关键词
Hermite-Hadamard type inequalities; s - convex functions; Tempered fractional integral operator; Integral inequalities;
D O I
10.2298/FIL2410683G
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, Hermite-Hadamard type inequalities for ( h , m ) - convex and s - convex functions are established by using tempered fractional integral operators. Also, some integral inequalities related to the right and left sides of the Hermite-Hadamard inequality via tempered fractional integrals are proved.
引用
收藏
页码:3683 / 3690
页数:8
相关论文
共 50 条
  • [21] ON HADAMARD TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
    Farid, G.
    Rehman, A. Ur
    Tariq, B.
    Waheed, A.
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2016, 7 (04): : 150 - 167
  • [22] Some new integral inequalities for F-convex functions via ABK-fractional operator
    Liang, Chen
    Shaokat, Shahid
    Razzaq, Arslan
    Hakami, Khalil Hadi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 542 (02)
  • [23] On the Hadamard's type Inequalities for Convex Functions via Conformable Fractional Integrals
    Yildirim, M. E.
    Akkurt, A.
    Yildirim, H.
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2018, 9 (03): : 1 - 10
  • [24] Integral inequalities for some convex functions via generalized fractional integrals
    Mehreen, Naila
    Anwar, Matloob
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [25] Integral inequalities for some convex functions via generalized fractional integrals
    Naila Mehreen
    Matloob Anwar
    Journal of Inequalities and Applications, 2018
  • [26] Some fractional Hermite-Hadamard-type integral inequalities with s-(α, m)-convex functions and their applications
    Liu, R. N.
    Xu, Run
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01):
  • [27] New Hermite-Hadamard Type Inequalities for ψ-Riemann-Liouville Fractional Integral via Convex Functions
    Sun, Yining
    Xu, Run
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
  • [28] Generalized Hermite-Hadamard type integral inequalities for s-convex functions via fractional integrals
    Sarikaya, Mehmet Zeki
    Ertugral, Fatma
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2014, 41 (02): : 226 - 233
  • [29] 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
  • [30] Hadamard Type Inequalities for m-convex and (α, m)-convex Functions via Fractional Integrals
    Ardic, Merve Avci
    Ekinci, Alper
    Akdemir, Ahmet Ocak
    Ozdemir, M. Emin
    6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017), 2018, 1926