GENERALIZED HERMITE-HADAMARD INCLUSIONS FOR A GENERALIZED FRACTIONAL INTEGRAL

被引:0
|
作者
Budak, Hueseyin [1 ]
Kara, Hasan [1 ]
Hezenci, Fatih [1 ]
机构
[1] Duzce Univ, Dept Math, Duzce, Turkiye
关键词
Hermite-Hadamard inclusions; fractional integrals; integral inclusions; interval-valued functions; CONVEX-FUNCTIONS; INEQUALITIES;
D O I
10.1216/rmj.2023.53.383
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce new generalized fractional integrals for interval-valued functions. Then we prove generalized Hermite-Hadamard type inclusions for interval-valued convex functions using these newly defined generalized fractional integrals. We also show that these results generalize several results obtained in earlier works.
引用
收藏
页码:383 / 395
页数:13
相关论文
共 50 条
  • [1] Generalized proportional fractional integral Hermite-Hadamard's inequalities
    Aljaaidi, Tariq A.
    Pachpatte, Deepak B.
    Abdeljawad, Thabet
    Abdo, Mohammed S.
    Almalahi, Mohammed A.
    Redhwan, Saleh S.
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [2] GENERALIZED FRACTIONAL HERMITE-HADAMARD INEQUALITIES
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Awan, Muhammad Uzair
    MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) : 1001 - 1011
  • [3] Generalized Hermite-Hadamard type inequalities involving fractional integral operators
    Erhan Set
    Muhammed Aslam Noor
    Muhammed Uzair Awan
    Abdurrahman Gözpinar
    Journal of Inequalities and Applications, 2017
  • [4] Generalized Hermite-Hadamard type inequalities involving fractional integral operators
    Set, Erhan
    Noor, Muhammed Aslam
    Awan, Muhammed Uzair
    Gozpinar, Abdurrahman
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [5] Concerning the generalized Hermite-Hadamard integral inequality
    Galeano Delgado, Juan Gabriel
    Napoles Valdes, Juan Eduardo
    Perez Reyes, Edgardo
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2023, 41 (02): : 226 - 231
  • [6] Certain Hermite-Hadamard type inequalities involving generalized fractional integral operators
    Set, Erhan
    Choi, Junesang
    Celik, Baris
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (04) : 1539 - 1547
  • [7] Generalized fractional integral inequalities of Hermite-Hadamard type for (,m)-convex functions
    Qi, Feng
    Mohammed, Pshtiwan Othman
    Yao, Jen-Chih
    Yao, Yong-Hong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019,
  • [8] New extensions of Hermite-Hadamard inequalities via generalized proportional fractional integral
    Mumcu, Ilker
    Set, Erhan
    Akdemir, Ahmet Ocak
    Jarad, Fahd
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (02)
  • [9] Fractional integral versions of Hermite-Hadamard type inequality for generalized exponentially convexity
    Qi, Hengxiao
    Yussouf, Muhammad
    Mehmood, Sajid
    Chu, Yu-Ming
    Farid, Ghulam
    AIMS MATHEMATICS, 2020, 5 (06): : 6030 - 6042
  • [10] Generalized fractional integral inequalities of Hermite-Hadamard type for harmonically convex functions
    Zhao, Dafang
    Ali, Muhammad Aamir
    Kashuri, Artion
    Budak, Huseyin
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)