SOME k-FRACTIONAL INTEGRAL INEQUALITIES FOR p-CONVEX FUNCTIONS

被引:1
|
作者
Mehreen, Naila [1 ]
Anwar, Matloob [1 ]
机构
[1] Natl Univ Sci & Technol, Sch Nat Sci, H-12, Islamabad, Pakistan
来源
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 01期
关键词
Hermite-Hadamard inequality; p-convex function; Riemann-Liouville k- fractional integrals; k-fractional conformable integrals; HADAMARD-TYPE INEQUALITIES; HERMITE-HADAMARD;
D O I
10.46793/KgJMat2401.025M
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we use Riemann-Liouville k -fractional and k -fractional confomable integrals to prove Hermite-Hadamard inequality, an identity and HermiteHadamard type inequality for p -convex functions. Some special cases are also discussed. Our work is extensions of other related previous results.
引用
收藏
页码:25 / 39
页数:15
相关论文
共 50 条
  • [21] (p,h)-Convex Functions Associated with Hadamard and Fejer-Hadamard Inequalities via k-Fractional Integral Operators
    Zhang, Xiujun
    Farid, Ghulam
    Demirel, Ayse Kuebra
    Jung, Chahn Yong
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [22] Some parameterized integral inequalities for p-convex mappings via the right Katugampola fractional integrals
    Hu, Gou
    Lei, Hui
    Du, Tingsong
    AIMS MATHEMATICS, 2020, 5 (02): : 1425 - 1445
  • [23] Fractional version of Ostrowski-type inequalities for strongly p-convex stochastic processes via a k-fractional Hilfer–Katugampola derivative
    Hengxiao Qi
    Muhammad Shoaib Saleem
    Imran Ahmed
    Sana Sajid
    Waqas Nazeer
    Journal of Inequalities and Applications, 2023
  • [24] Some inequalities of the Gruss type for conformable k-fractional integral operators
    Rahman, Gauhar
    Nisar, Kottakkaran Sooppy
    Ghaffar, Abdul
    Qi, Feng
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (01)
  • [25] Some generalized Riemann-Liouville k-fractional integral inequalities
    Agarwal, Praveen
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [26] Some Inequalities of Cebysev Type for Conformable k-Fractional Integral Operators
    Qi, Feng
    Rahman, Gauhar
    Hussain, Sardar Muhammad
    Du, Wei-Shih
    Nisar, Kottakkaran Sooppy
    SYMMETRY-BASEL, 2018, 10 (11):
  • [27] SOME INTEGRAL INEQUALITIES OF (s, p)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
    Mehreen, N.
    Anwar, M.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 14 (03): : 411 - 435
  • [28] Some generalized Riemann-Liouville k-fractional integral inequalities
    Praveen Agarwal
    Jessada Tariboon
    Sotiris K Ntouyas
    Journal of Inequalities and Applications, 2016
  • [29] Fractional version of Ostrowski-type inequalities for strongly p-convex stochastic processes via a k-fractional Hilfer-Katugampola derivative
    Qi, Hengxiao
    Saleem, Muhammad Shoaib
    Ahmed, Imran
    Sajid, Sana
    Nazeer, Waqas
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [30] Ostrowski-type inequalities for n-polynomial P-convex function for k-fractional Hilfer-Katugampola derivative
    Naz, Samaira
    Naeem, Muhammad Nawaz
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01):