NEW HERMITE-HADAMARD'S INEQUALITIES FOR PREINVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

被引:0
|
作者
Qaisar, Shahid [1 ]
Iqbal, Muhammad [2 ]
Muddassar, Muhammad [3 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Sahiwal, Pakistan
[2] Univ Engn & Technol, Lahore, Pakistan
[3] Univ Engn & Technol, Taxila, Pakistan
关键词
Hermite-Hadamard's Inequality; Convex Functions; Power-mean Inequality; Riemann-Liouville Fractional Integration; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper,we have established some Hermite- Hadamard inequalities for preinvex functions via fractional integrals and these results have some relationship with the obtained results. Application of the obtained results are given as well.
引用
收藏
页码:1318 / 1328
页数:11
相关论文
共 50 条
  • [31] On Hermite-Hadamard Type Inequalities for phi-convex Functions via Fractional Integrals
    Sarikaya, Mehmet Zeki
    Yaldiz, Hatice
    [J]. MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2015, 9 (02): : 243 - 258
  • [32] HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS
    Mumcu, Ilker
    Set, Erhan
    Akdemir, Ahmet Ocak
    [J]. MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 409 - 424
  • [33] On New Extensions of Hermite-Hadamard Inequalities for Generalized Fractional Integrals
    Budak, Huseyin
    Pehlivan, Ebru
    Kosem, Pinar
    [J]. SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2021, 18 (01): : 73 - 88
  • [34] New Hermite-Hadamard inequalities in the framework of generalized fractional integrals
    Galeano Delgado, Juan Gabriel
    Napoles Valdes, Juan E.
    Perez Reyes, Edgardo
    [J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2021, 48 (02): : 319 - 327
  • [35] New Developments of Hermite-Hadamard Type Inequalities via s-Convexity and Fractional Integrals
    Khan, Khuram Ali
    Fatima, Saeeda
    Nosheen, Ammara
    Matendo Mabela, Rostin
    [J]. JOURNAL OF MATHEMATICS, 2024, 2024
  • [36] New integral inequalities of Hermite-Hadamard type via the Katugampola fractional integrals for strongly η-quasiconvex functions
    Kermausuor, Seth
    Nwaeze, Eze R.
    [J]. JOURNAL OF ANALYSIS, 2021, 29 (03): : 633 - 647
  • [37] Hermite-Hadamard Type Inequalities For Quasi-Convex Functions Via New Fractional Conformable Integrals
    Set, Erhan
    Gozpinar, Abdurrahman
    Demirci, Filiz
    [J]. 1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018), 2018, 1991
  • [38] Generalized Hermite-Hadamard type integral inequalities for s-convex functions via fractional integrals
    Sarikaya, Mehmet Zeki
    Ertugral, Fatma
    [J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2014, 41 (02): : 226 - 233
  • [39] 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)
  • [40] Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
    Liu, Wenjun
    Wen, Wangshu
    Park, Jaekeun
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 766 - 777