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

被引：6
|
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] Hermite-Hadamard inequalities type for log-h-convex interval-valued stochastic processes
    Rholam, Oualid
    Barmaki, Mohammed
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2024, 27 (06) : 1405 - 1420
  • [22] New Jensen and Hermite-Hadamard type inequalities for h-convex interval-valued functions
    Zhao, Dafang
    An, Tianqing
    Ye, Guoju
    Liu, Wei
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [23] FRACTIONAL QUANTUM HERMITE-HADAMARD-TYPE INEQUALITIES FOR INTERVAL-VALUED FUNCTIONS
    Cheng, Haiyang
    Zhao, Dafang
    Zhao, Guohui
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (09)
  • [24] 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)
  • [25] 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
  • [26] On extensions of Hermite-Hadamard type inclusions for interval-valued convex functions
    Kara, Hasan
    Budak, Huseyin
    Hezenci, Fatih
    FILOMAT, 2023, 37 (18) : 5873 - 5882
  • [27] 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
  • [28] 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,
  • [29] Hermite-Hadamard-type inequalities for interval-valued coordinated convex functions involving generalized fractional integrals
    Kara, Hasan
    Ali, Muhammad Aamir
    Budak, Huseyin
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (01) : 104 - 123
  • [30] 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
12345