Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function

被引:0
|
作者
Ma, Fangfang [1 ]
机构
[1] Shandong Univ Sci & Technol, Dept Fdn Course, Tai An 271019, Shandong, Peoples R China
来源
AIMS MATHEMATICS | 2022年 / 7卷 / 01期
关键词
convex function; Hermite-Hadamard inequality; Jensen-Mercer inequality; fractional integrals; INTEGRALS; HADAMARD;
D O I
10.3934/math.2022047
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we find further versions of generalized Hadamard type fractional integral inequality for k-fractional integrals. For this purpose we utilize the definition of h-convex function. The presented results hold simultaneously for variant types of convexities and fractional integrals.
引用
收藏
页码:784 / 803
页数:20
相关论文
共 50 条
  • [1] Jensen-Mercer Type Inequalities for Operator h-Convex Functions
    Abbasi, Mostafa
    Morassaei, Ali
    Mirzapour, Farzollah
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (05) : 2441 - 2462
  • [2] Hermite-Jensen-Mercer Type Inequalities for Caputo Fractional Derivatives
    Zhao, Jinchao
    Butt, Saad Ihsan
    Nasir, Jamshed
    Wang, Zhaobo
    Tlili, Iskander
    [J]. JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [3] ON QUANTUM HERMITE-JENSEN-MERCER INEQUALITIES
    Budak, Huseyin
    Kara, Hasan
    [J]. MISKOLC MATHEMATICAL NOTES, 2023, 24 (03) : 1247 - 1257
  • [4] Generalized Jensen and Jensen-Mercer inequalities for strongly convex functions with applications
    Bradanovic, Slavica Ivelic
    Lovricevic, Neda
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
  • [5] Jensen–Mercer Type Inequalities for Operator h-Convex Functions
    Mostafa Abbasi
    Ali Morassaei
    Farzollah Mirzapour
    [J]. Bulletin of the Iranian Mathematical Society, 2022, 48 : 2441 - 2462
  • [6] Fractional Hermite-Jensen-Mercer Integral Inequalities with respect to Another Function and Application
    Butt, Saad Ihsan
    Umar, Muhammad
    Khan, Khuram Ali
    Kashuri, Artion
    Emadifar, Homan
    [J]. COMPLEXITY, 2021, 2021
  • [7] Generalized Fractal Jensen-Mercer and Hermite-Mercer type inequalities via h-convex functions involving Mittag-Leffler kernel
    Xu, Peng
    Butt, Saad Ihsan
    Yousaf, Saba
    Aslam, Adnan
    Zia, Tariq Javed
    [J]. ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (06) : 4837 - 4846
  • [8] Hermite-Jensen-Mercer-Type Inequalities via Caputo-Fabrizio Fractional Integral for h-Convex Function
    Vivas-Cortez, Miguel
    Saleem, Muhammad Shoaib
    Sajid, Sana
    Zahoor, Muhammad Sajid
    Kashuri, Artion
    [J]. FRACTAL AND FRACTIONAL, 2021, 5 (04)
  • [9] Generalized fractal Jensen and Jensen-Mercer inequalities for harmonic convex function with applications
    Butt, Saad Ihsan
    Agarwal, Praveen
    Yousaf, Saba
    Guirao, Juan L. G.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [10] New stochastic fractional integral and related inequalities of Jensen-Mercer and Hermite-Hadamard-Mercer type for convex stochastic processes
    Jarad, Fahd
    Sahoo, Soubhagya Kumar
    Nisar, Kottakkaran Sooppy
    Treanta, Savin
    Emadifar, Homan
    Botmart, Thongchai
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)