Hermite-Hadamard type inequalities for interval-valued fractional integrals with respect to another function

被引：4
|
作者：
Tunc, Tuba [1 ]
机构：
[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey
来源：
MATHEMATICA SLOVACA | 2022年 / 72卷 / 06期
关键词：
Fractional integrals; Hermite-Hadamard inequality; interval-valued functions; CALCULUS;
D O I：
10.1515/ms-2022-0102
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, first we define interval-valued left-sided and right-sided fractional integrals of a function with respect to the another function. Then, we handle Hermite-Hadamard type inequalities via these definitions.
引用
收藏
页码：1501 / 1512
页数：12
相关论文
共 50 条
  • [21] ON HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICAL h-CONVEX INTERVAL-VALUED FUNCTIONS
    Zhao, Dafang
    An, Tianqing
    Ye, Guoju
    Torres, Delfim F. M.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (01): : 95 - 105
  • [22] Post-quantum Hermite-Hadamard type inequalities for interval-valued convex functions
    Ali, Muhammad Aamir
    Budak, Huseyin
    Murtaza, Ghulam
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [23] Hermite-Hadamard inequalities for generalized convex functions in interval-valued calculus
    Macias-Diaz, Jorge E.
    Khan, Muhammad Bilal
    Noor, Muhammad Aslam
    Mousa, Abd Allah A.
    Alghamdi, Safar M.
    AIMS MATHEMATICS, 2022, 7 (03): : 4266 - 4292
  • [24] On some Hermite-Hadamard type inequalities for T-convex interval-valued functions
    Sha, Zehao
    Ye, Guoju
    Zhao, Dafang
    Liu, Wei
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01):
  • [25] Hermite-Hadamard type inequalities for fractional integrals via Green's function
    Khan, Muhammad Adil
    Iqbal, Arshad
    Suleman, Muhammad
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [26] Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for generalized fractional integrals
    Chen, Hua
    Katugampola, Udita N.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 446 (02) : 1274 - 1291
  • [27] On Hermite-Hadamard Type Inequalities Associated with the Generalized Fractional Integrals
    Ertugral, Fatma
    Sarikaya, Mehmet Zeki
    Budak, Huseyin
    FILOMAT, 2022, 36 (12) : 3981 - 3993
  • [28] On Hermite-Hadamard type inequalities via generalized fractional integrals
    Jleli, Mohamed
    O'Regan, Donal
    Samet, Bessem
    TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (06) : 1221 - 1230
  • [29] Refinements of Hermite-Hadamard Type Inequalities Involving Fractional Integrals
    Wang, JinRong
    Li, Xuezhu
    Zhu, Chun
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2013, 20 (04) : 655 - 666
  • [30] 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
12345