Some fractional integral inequalities involving m-convex functions

被引:0
|
作者
Jleli, Mohamed [1 ]
O'Regan, Donal [2 ]
Samet, Bessem [1 ]
机构
[1] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia
[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
关键词
m-convexity; Inequalities; Fractional integral with respect to another function; OSTROWSKI-TYPE INEQUALITIES; (ALPHA;
D O I
10.1007/s00010-017-0470-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, some fractional integral inequalities involving m-convex functions are established. The presented results are generalizations of the obtained inequalities in Dragomir and Toader (Babes-Bolyai Math 38:21-28, 1993).
引用
收藏
页码:479 / 490
页数:12
相关论文
共 50 条
  • [41] Integral inequalities for some convex functions via generalized fractional integrals
    Naila Mehreen
    Matloob Anwar
    [J]. Journal of Inequalities and Applications, 2018
  • [42] Some Riemann-Liouville fractional integral inequalities for convex functions
    Farid, Ghulam
    [J]. JOURNAL OF ANALYSIS, 2019, 27 (04): : 1095 - 1102
  • [43] Refinements of Some Integral Inequalities for (s, m)-Convex Functions
    Farid, Ghulam
    Chu, Yu-Ming
    Andric, Maja
    Jung, Chahn Yong
    Pecaric, Josip
    Kang, Shin Min
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [44] Integral Inequalities Involving Strongly Convex Functions
    Song, Yingqing
    Khan, Muhammad Adil
    Ullah, Syed Zaheer
    Chu, Yu-Ming
    [J]. JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [45] Tempered Fractional Integral Inequalities for Convex Functions
    Rahman, Gauhar
    Nisar, Kottakkaran Sooppy
    Abdeljawad, Thabet
    [J]. MATHEMATICS, 2020, 8 (04)
  • [46] On M-convex functions
    Awan, Muhammad Uzair
    Noor, Muhammad Aslam
    Du, Tingsong
    Noor, Khalida Inayat
    [J]. AIMS MATHEMATICS, 2020, 5 (03): : 2376 - 2387
  • [47] SOME INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS
    Ozdemir, M. Emin
    Kavurmaci, Havva
    Avci, Merve
    [J]. TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (03): : 253 - 259
  • [48] Some integral inequalities for harmonic h-convex functions involving hypergeometric functions
    Mihai, Marcela V.
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Awan, Muhammad Uzair
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 252 : 257 - 262
  • [49] NEW OSTROWSKI TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS AND APPLICATIONS
    Kavurmaci, Havva
    Ozdemir, M. Emin
    Avci, Merve
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (02): : 135 - 145
  • [50] Some new inequalities involving the Katugampola fractional integrals for strongly η-convex functions
    Kermausuor, Seth
    Nwaeze, Eze R.
    [J]. TBILISI MATHEMATICAL JOURNAL, 2019, 12 (01) : 117 - 130