On some Hermite-Hadamard type inequalities for tgs-convex functions via generalized fractional integrals

被引:0
|
作者
Mehreen, Naila [1 ]
Anwar, Matloob [1 ]
机构
[1] Natl Univ Sci & Technol, Sch Nat Sci, Islamabad, Pakistan
来源
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词
Hermite-Hadamard inequality; tgs-convex functions; Riemann-Liouville fractional integrals; Katugampola fractional integrals; psi-Riemann-Liouville fractional integrals;
D O I
10.1186/s13662-019-2457-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this research article, we establish some Hermite-Hadamard type inequalities for tgs-convex functions via Katugampola fractional integrals and psi -Riemann-Liouville fractional integrals. Through these results we give some new Hermite-Hadamard type inequalities for tgs-convex functions via Riemann-Liouville fractional integrals and classical integrals.
引用
收藏
页数:17
相关论文
共 50 条
  • [1] HERMITE-HADAMARD TYPE INEQUALITIES FOR SOME CONVEX DOMINATED FUNCTIONS VIA FRACTIONAL INTEGRALS
    Kavurmaci-Onalan, Havva
    MISKOLC MATHEMATICAL NOTES, 2021, 22 (01) : 287 - 297
  • [2] ON THE HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS VIA HADAMARD FRACTIONAL INTEGRALS
    Peng, Shan
    Wei, Wei
    Wang, JinRong
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2014, 29 (01): : 55 - 75
  • [3] Hermite-Hadamard Type Inequalities for h-Convex Functions Via Generalized Fractional Integrals
    Ali, M. Aamir
    Budak, H.
    Abbas, M.
    Sarikaya, M. Z.
    Kashuri, A.
    JOURNAL OF MATHEMATICAL EXTENSION, 2020, 14 (04) : 187 - 234
  • [4] Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
    Iscan, Imdat
    Wu, Shanhe
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 238 : 237 - 244
  • [5] Inequalities for tgs-convex functions via some conformable fractional integrals
    Mehreen, Naila
    Anwar, Matloob
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 425 - 436
  • [6] Extensions of Hermite-Hadamard inequalities for harmonically convex functions via generalized fractional integrals
    You, Xue-Xiao
    Ali, Muhammad Aamir
    Budak, Huseyin
    Agarwal, Praveen
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [7] 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
  • [8] Generalized Hermite-Hadamard type integral inequalities for s-convex functions via fractional integrals
    Sarikaya, Mehmet Zeki
    Ertugral, Fatma
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2014, 41 (02): : 226 - 233
  • [9] Some Inequalities of Hermite-Hadamard Type for MT-h-Convex Functions via Classical and Generalized Fractional Integrals
    Qi, Hengxiao
    Nazeer, Waqas
    Abbas, Fatima
    Liao, Wenbo
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [10] Some Hermite-Hadamard Type Inequalities For Convex Functions Via New Fractional Conformable Integrals And Related Inequalities
    Gozpinar, Abdurrahman
    1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018), 2018, 1991