Hermite-Hadamard-Mercer Type Inequalities for Fractional Integrals

被引:45
|
作者
Ogulmus, Hatice [1 ]
Sarikaya, Mehmet Zeki [1 ]
机构
[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey
关键词
Convex function; Hermite-Hadamard inequalities; Jensen inequality; Jensen-Mercer inequality; Fractional integrals; REFINEMENTS; OPERATOR; FEJER;
D O I
10.2298/FIL2107425O
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present note, we proved Hermite-Hadamard-Mercer inequalities for fractional integrals and we established some new fractional inequalities connected with the right and left-sides of Hermite-Hadamard-Mercer type inequalities for differentiable mappings whose derivatives in absolute value are convex.
引用
收藏
页码:2425 / 2436
页数:12
相关论文
共 50 条
  • [41] Further Hermite-Hadamard-Type Inequalities for Fractional Integrals with Exponential Kernels
    Li, Hong
    Meftah, Badreddine
    Saleh, Wedad
    Xu, Hongyan
    Kilicman, Adem
    Lakhdari, Abdelghani
    [J]. FRACTAL AND FRACTIONAL, 2024, 8 (06)
  • [42] The Hermite-Hadamard-Jensen-Mercer Type Inequalities for Riemann-Liouville Fractional Integral
    Wang, Hua
    Khan, Jamroz
    Adil Khan, Muhammad
    Khalid, Sadia
    Khan, Rewayat
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
  • [43] Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals
    Naila Mehreen
    Matloob Anwar
    [J]. Journal of Inequalities and Applications, 2020
  • [44] New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes
    Fahd Jarad
    Soubhagya Kumar Sahoo
    Kottakkaran Sooppy Nisar
    Savin Treanţă
    Homan Emadifar
    Thongchai Botmart
    [J]. Journal of Inequalities and Applications, 2023
  • [45] On Some Hermite-Hadamard Inequalities for Fractional Integrals and their Applications
    Hwang, S. -R.
    Yeh, S. -Y.
    Tseng, K. -L.
    [J]. UKRAINIAN MATHEMATICAL JOURNAL, 2020, 72 (03) : 464 - 484
  • [46] NEW INEQUALITIES ON HERMITE-HADAMARD UTILIZING FRACTIONAL INTEGRALS
    Qaisar, Shahid
    Iqbal, Muhammad
    Hussain, Sabir
    Butt, Saad I.
    Meraj, Muhammad A.
    [J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2018, 42 (01): : 15 - 27
  • [47] New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals
    Saad Ihsan Butt
    Muhammad Umar
    Saima Rashid
    Ahmet Ocak Akdemir
    Yu-Ming Chu
    [J]. Advances in Difference Equations, 2020
  • [48] New Hermite-Jensen-Mercer-type inequalities via k-fractional integrals
    Butt, Saad Ihsan
    Umar, Muhammad
    Rashid, Saima
    Akdemir, Ahmet Ocak
    Chu, Yu-Ming
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [49] ON THE HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS VIA HADAMARD FRACTIONAL INTEGRALS
    Peng, Shan
    Wei, Wei
    Wang, JinRong
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2014, 29 (01): : 55 - 75
  • [50] Symmetrical Hermite-Hadamard type inequalities stemming from multiplicative fractional integrals
    Peng, Yu
    Ozcan, Serap
    Du, Tingsong
    [J]. CHAOS SOLITONS & FRACTALS, 2024, 183