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
  • [21] On the Generalized Hermite-Hadamard Inequalities via the Tempered Fractional Integrals
    Mohammed, Pshtiwan Othman
    Sarikaya, Mehmet Zeki
    Baleanu, Dumitru
    SYMMETRY-BASEL, 2020, 12 (04):
  • [22] Generalized fractional inequalities of the Hermite-Hadamard type via new Katugampola generalized fractional integrals
    Omaba, M. E.
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2022, 14 (02) : 475 - 484
  • [23] On Hermite-Hadamard Type Inequalities Associated with the Generalized Fractional Integrals
    Ertugral, Fatma
    Sarikaya, Mehmet Zeki
    Budak, Huseyin
    FILOMAT, 2022, 36 (12) : 3981 - 3993
  • [24] 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
  • [25] HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR GENERALIZED CONVEX FUNCTIONS
    Aslani, S. Mohammadi
    Delavar, M. Rostamian
    Vaezpour, S. M.
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2018, 9 (01): : 17 - 33
  • [26] New Hermite-Hadamard inequalities in the framework of generalized fractional integrals
    Galeano Delgado, Juan Gabriel
    Napoles Valdes, Juan E.
    Perez Reyes, Edgardo
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2021, 48 (02): : 319 - 327
  • [27] On New Extensions of Hermite-Hadamard Inequalities for Generalized Fractional Integrals
    Budak, Huseyin
    Pehlivan, Ebru
    Kosem, Pinar
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2021, 18 (01): : 73 - 88
  • [28] Hermite-Hadamard inequality for new generalized conformable fractional operators
    Khan, Tahir Ullah
    Khan, Muhammad Adil
    AIMS MATHEMATICS, 2021, 6 (01): : 23 - 38
  • [29] Hermite-Hadamard type fractional integral inequalities for strongly generalized-prequasi-invex function
    Bibi, Maria
    Muddassar, Muhammad
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 515 - 525
  • [30] Hermite-Hadamard, Jensen, and Fractional Integral Inequalities for Generalized P-Convex Stochastic Processes
    Ma, Fangfang
    Nazeer, Waqas
    Ghafoor, Mamoona
    JOURNAL OF MATHEMATICS, 2021, 2021