On the fractional integral inclusions having exponential kernels for interval-valued convex functions

被引:0
|
作者
Taichun Zhou
Zhengrong Yuan
Tingsong Du
机构
[1] China Three Gorges University,Department of Mathematics, College of Science
[2] China Three Gorges University,Three Gorges Mathematical Research Center
来源
Mathematical Sciences | 2023年 / 17卷
关键词
Fractional integrals; Interval-valued functions; Hermite–Hadamard’s inequality; 65G40; 28B20; 26A33; 26D15;
D O I
暂无
中图分类号
学科分类号
摘要
The purpose of the present paper is to establish certain fractional integral inclusions having exponential kernels, which are related to the Hermite–Hadamard, Hermite–Hadamard–Fejér, and Pachpatte type inequalities. These results allow us to obtain a new class of inclusions which can be viewed as some substantial generalizations of the previously reported results. Also, the graphical representations for the results are utilized to identify the correctness of the investigated inclusion relations that occur with the change of the parameter α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}.
引用
收藏
页码:107 / 120
页数:13
相关论文
共 50 条
  • [41] Wirtinger-type integral inequalities for interval-valued functions
    Costa, T. M.
    Chalco-Cano, Y.
    Roman-Flores, H.
    [J]. FUZZY SETS AND SYSTEMS, 2020, 396 : 102 - 114
  • [42] Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
    Budak, Huseyin
    Kara, Hasan
    Ali, Muhammad Aamir
    Khan, Sundas
    Chu, Yuming
    [J]. OPEN MATHEMATICS, 2021, 19 (01): : 1081 - 1097
  • [43] Fractional Hermite–Hadamard type inequalities for interval-valued functions
    Xuelong Liu
    Gouju Ye
    Dafang Zhao
    Wei Liu
    [J]. Journal of Inequalities and Applications, 2019
  • [44] Weighted Hermite-Hadamard type inclusions for products of co-ordinated convex interval-valued functions
    Kara, Hasan
    Budak, Huseyin
    Ali, Muhammad Aamir
    Sarikaya, Mehmet Zeki
    Chu, Yu-Ming
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [45] General interval-valued overlap functions and interval-valued overlap indices
    Asmus, Tiago da Cruz
    Dimuro, Gracaliz Pereira
    Bedregal, Benjamin
    Sanz, Jose Antonio
    Pereira Jr, Sidnei
    Bustince, Humberto
    [J]. INFORMATION SCIENCES, 2020, 527 : 27 - 50
  • [46] ON PREINVEX INTERVAL-VALUED FUNCTIONS AND UNCONSTRAINED INTERVAL-VALUED OPTIMIZATION PROBLEMS
    Shi, Fangfang
    Ye, Guoju
    Liu, Wei
    Zhao, Dafang
    [J]. RAIRO-OPERATIONS RESEARCH, 2023, 57 (05) : 2833 - 2851
  • [47] On Interval-Valued Pseudolinear Functions and Interval-Valued Pseudolinear Optimization Problems
    Zhang, Jianke
    Zheng, Qinghua
    Zhou, Chang
    Ma, Xiaojue
    Li, Lifeng
    [J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [48] Some Fuzzy Riemann-Liouville Fractional Integral Inequalities for Preinvex Fuzzy Interval-Valued Functions
    Khan, Muhammad Bilal
    Zaini, Hatim Ghazi
    Macias-Diaz, Jorge E.
    Treanta, Savin
    Soliman, Mohamed S.
    [J]. SYMMETRY-BASEL, 2022, 14 (02):
  • [49] On the Hermite-Hadamard inequalities for interval-valued coordinated convex functions
    Zhao, Dafang
    Ali, Muhammad Aamir
    Murtaza, Ghulam
    Zhang, Zhiyue
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [50] Hermite-Hadamard Type Inequalities for Interval-Valued Preinvex Functions via Fractional Integral Operators
    Srivastava, Hari Mohan
    Sahoo, Soubhagya Kumar
    Mohammed, Pshtiwan Othman
    Baleanu, Dumitru
    Kodamasingh, Bibhakar
    [J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2022, 15 (01)