Generalizations of some fractional integral inequalities for m-convex functions via generalized Mittag-Leffler function

被引:8
|
作者
Farid, Ghulam [1 ]
Abbas, Ghulam [2 ,3 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Attock Campus, Attock, Pakistan
[2] Univ Sargodha, Dept Math, Sargodha, Pakistan
[3] Govt Coll Bhalwal, Dept Math, Sargodha, Pakistan
来源
关键词
m-convex function; Hadamard inequality; generalized Mittag-Leffler function;
D O I
10.24193/subbmath.2018.1.02
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we are interested to present some general fractional integral inequalities for m-convex functions by involving generalized Mittag-Leffler function. In particular we produce inequalities for several kinds of fractional integrals. Also these inequalities have some connections with known integral inequalities.
引用
收藏
页码:23 / 35
页数:13
相关论文
共 50 条
  • [1] Some integral inequalities for m-convex functions via generalized fractional integral operator containing generalized Mittag-Leffler function
    Abbas, G.
    Farid, G.
    [J]. COGENT MATHEMATICS, 2016, 3
  • [2] General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function
    Farid, G.
    Khan, K. A.
    Latif, N.
    Rehman, A. U.
    Mehmood, S.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [3] General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function
    G. Farid
    K. A. Khan
    N. Latif
    A. U. Rehman
    S. Mehmood
    [J]. Journal of Inequalities and Applications, 2018
  • [4] Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function
    Rashid, Saima
    Safdar, Farhat
    Akdemir, Ahmet Ocak
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [5] Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function
    Saima Rashid
    Farhat Safdar
    Ahmet Ocak Akdemir
    Muhammad Aslam Noor
    Khalida Inayat Noor
    [J]. Journal of Inequalities and Applications, 2019
  • [6] Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function
    Ghulam Abbas
    Khuram Ali Khan
    Ghulam Farid
    Atiq Ur Rehman
    [J]. Journal of Inequalities and Applications, 2017
  • [7] Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function
    Abbas, Ghulam
    Khan, Khuram Ali
    Farid, Ghulam
    Rehman, Atiq Ur
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [8] Generalization of Some Fractional Integral Operator Inequalities for Convex Functions via Unified Mittag-Leffler Function
    Nonlaopon, Kamsing
    Farid, Ghulam
    Yasmeen, Hafsa
    Shah, Farooq Ahmed
    Jung, Chahn Yong
    [J]. SYMMETRY-BASEL, 2022, 14 (05):
  • [9] Fractional integral inequalities for generalized-m\documentclass-convex mappings via an extended generalized Mittag-Leffler function
    Anastassiou, George
    Kashuri, Artion
    Liko, Rozana
    [J]. ARABIAN JOURNAL OF MATHEMATICS, 2020, 9 (02) : 231 - 243
  • [10] FRACTIONAL INTEGRAL INEQUALITIES OF GRUSS TYPE VIA GENERALIZED MITTAG-LEFFLER FUNCTION
    Farid, G.
    Rehman, A. U.
    Mishra, Vishnu Narayan
    Mehmood, S.
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2019, 17 (04): : 548 - 558